acs <- read.table("http://jaredlander.com/data/acs_ny.csv",sep=",",
                  header=TRUE, stringsAsFactors=TRUE)

Load the necessary libraries

library(ggplot2)
library(useful)
library(caret)
## Loading required package: lattice
library(ISLR)
library(scales)
library(plyr)
library(rpart)
library(rpart.plot)
library(class)
library(MuMIn)

Let’s assume our goal is to build a model to predict if household income is greater than $250,000 per year.

Task 1: Data preparation

We start by building a binary response variable.

acs$HighIncome <- as.numeric(with(acs, FamilyIncome >= 250000))
head(acs)
##   Acres FamilyIncome  FamilyType NumBedrooms NumChildren NumPeople
## 1  1-10          150     Married           4           1         3
## 2  1-10          180 Female Head           3           2         4
## 3  1-10          280 Female Head           4           0         2
## 4  1-10          330 Female Head           2           1         2
## 5  1-10          330   Male Head           3           1         2
## 6  1-10          480   Male Head           0           3         4
##   NumRooms        NumUnits NumVehicles NumWorkers  OwnRent   YearBuilt
## 1        9 Single detached           1          0 Mortgage   1950-1959
## 2        6 Single detached           2          0   Rented Before 1939
## 3        8 Single detached           3          1 Mortgage   2000-2004
## 4        4 Single detached           1          0   Rented   1950-1959
## 5        5 Single attached           1          0 Mortgage Before 1939
## 6        1 Single detached           0          0   Rented Before 1939
##   HouseCosts ElectricBill FoodStamp HeatingFuel Insurance       Language
## 1       1800           90        No         Gas      2500        English
## 2        850           90        No         Oil         0        English
## 3       2600          260        No         Oil      6600 Other European
## 4       1800          140        No         Oil         0        English
## 5        860          150        No         Gas       660        Spanish
## 6        700          140        No         Gas         0        English
##   HighIncome
## 1          0
## 2          0
## 3          0
## 4          0
## 5          0
## 6          0
tail(acs)
##       Acres FamilyIncome FamilyType NumBedrooms NumChildren NumPeople
## 22740   10+       556250    Married           4           0         2
## 22741   10+       565000    Married           5           3         5
## 22742   10+       599000    Married           4           0         2
## 22743   10+       611700    Married           4           1         5
## 22744   10+       621430    Married           3           2         4
## 22745   10+       751200    Married           4           2         4
##       NumRooms        NumUnits NumVehicles NumWorkers  OwnRent   YearBuilt
## 22740       10 Single detached           2          1 Mortgage Before 1939
## 22741       10 Single detached           2          2 Mortgage   1990-1999
## 22742        6 Single detached           2          2 Mortgage Before 1939
## 22743        9 Single detached           5          3 Mortgage Before 1939
## 22744       11 Single detached           2          3 Mortgage   1970-1979
## 22745       10 Single detached           2          2 Mortgage   1940-1949
##       HouseCosts ElectricBill FoodStamp HeatingFuel Insurance Language
## 22740       1800          380        No         Oil      1700  English
## 22741       1700          370        No         Gas      1000  English
## 22742       1300          100        No         Gas      3500  English
## 22743        410          100        No         Oil      1300  Spanish
## 22744       1600           80        No         Gas       800  Spanish
## 22745       6500          400        No         Oil      2000  English
##       HighIncome
## 22740          1
## 22741          1
## 22742          1
## 22743          1
## 22744          1
## 22745          1

Before splitting data, I am going to add/modify some variables for use in my models

  1. Food Stamp to binary integer for linear regression
  2. Own home to binary integer for linear regression
  3. Family type to numerical for linear regression later
acs$foodstamp_binary <- ifelse(acs$FoodStamp == "Yes",1,0) # (yes = 1, no = 0)
  
  # Option 2 for doing this - I did not use this. Does not add new column but modifes exisiting column
  # levels(acs$FoodStamp) <- c("0","1")

acs$own_home <- ifelse(acs$OwnRent == "Rented",0, ifelse(acs$FamilyIncome == "Mortgage",1,2)) # (own = 1, rent = 0)

acs$family_type_cat <- ifelse(acs$FamilyType == "Married",1, ifelse(acs$FamilyIncome == "Female Head",2,3))
# married = 1, male head = 2, female head = 3

Based on groupby and plots (completed later) create new variables for potential use

acs$InsuranceHigh <- (acs$Insurance > 1000) * 1
acs$NumWorkers2 <- (acs$NumWorkers == 2) * 1
acs$HouseCostsHigh <- (acs$HouseCosts > 1000) * 1
acs$high_electric <- (acs$ElectricBill > 350) * 1

Break it into a training and test set with an 80/20 split.

set.seed(447)
testrecs <- sample(nrow(acs),0.2 * nrow(acs))
acs_test <- acs[testrecs,]
acs_fit <- acs[-testrecs,]  

Create binary variable where 1 = not on food stamps & not renting & married

acs$HI_pred1 <- 0
acs$HI_pred1[acs_test$FoodStamp == 'No' & acs_test$OwnRent != 'Rented' & acs_test$FamilyType == 'Married'] <- 1
# I like this visualization for a quick visual of what I'm dealing with before digging in (modified from class notes)
ggplot(acs,aes(x=FamilyIncome)) + geom_density(fill="#31a354", color="#31a354") +
  geom_vline(xintercept=250000) + scale_x_continuous(label=multiple.dollar, limits=c(0,1000000))
## Warning: Removed 13 rows containing non-finite values (stat_density).

Interesting test I found for testing data normality - downside is it has a 5000 observation limit

If p-value is less than .05 (or chosen significance level) then sample is NOT normally distributed This is not relevant here, but worth keeping for future The plot shows that there is a clear left skewned distribution - expected but still nice to include

shapiro.test(acs_test$FamilyIncome)
## 
##  Shapiro-Wilk normality test
## 
## data:  acs_test$FamilyIncome
## W = 0.71538, p-value < 2.2e-16

Task 2: Preliminary EDA and feature engineering

Before trying to build any classification models, you should do some exploratory data analysis to try to get a sense of which variables might be useful for trying to predict cases where FamilyIncome >= 250000. You should use a combination of group by analysis (i.e. plyr or dplyr or similar) and plotting.

If you decide you’d like to create some new variables (feature engineering), feel free to do that. Just document what you did and why you did it.

# Get some summary stats on each variable
summary(acs_fit)
##    Acres        FamilyIncome           FamilyType     NumBedrooms   
##  10+  :  815   Min.   :     50   Female Head: 2594   Min.   :0.000  
##  1-10 : 3709   1st Qu.:  53000   Male Head  :  907   1st Qu.:3.000  
##  Sub 1:13672   Median :  87100   Married    :14695   Median :3.000  
##                Mean   : 110726                       Mean   :3.384  
##                3rd Qu.: 134082                       3rd Qu.:4.000  
##                Max.   :1605000                       Max.   :8.000  
##                                                                     
##   NumChildren        NumPeople       NumRooms                NumUnits    
##  Min.   : 0.0000   Min.   : 2.0   Min.   : 1.00   Mobile home    :  583  
##  1st Qu.: 0.0000   1st Qu.: 2.0   1st Qu.: 6.00   Single attached: 1916  
##  Median : 0.0000   Median : 3.0   Median : 7.00   Single detached:15697  
##  Mean   : 0.9013   Mean   : 3.4   Mean   : 7.18                          
##  3rd Qu.: 2.0000   3rd Qu.: 4.0   3rd Qu.: 8.00                          
##  Max.   :12.0000   Max.   :18.0   Max.   :21.00                          
##                                                                          
##   NumVehicles      NumWorkers        OwnRent            YearBuilt   
##  Min.   :0.000   Min.   :0.000   Mortgage:16074   Before 1939:4874  
##  1st Qu.:2.000   1st Qu.:1.000   Outright:  128   1950-1959  :3107  
##  Median :2.000   Median :2.000   Rented  : 1994   1960-1969  :2201  
##  Mean   :2.119   Mean   :1.748                    1970-1979  :1894  
##  3rd Qu.:3.000   3rd Qu.:2.000                    1990-1999  :1647  
##  Max.   :6.000   Max.   :3.000                    1980-1989  :1598  
##                                                   (Other)    :2875  
##    HouseCosts    ElectricBill   FoodStamp        HeatingFuel   
##  Min.   :   4   Min.   :  1.0   No :16777   Gas        :10899  
##  1st Qu.: 650   1st Qu.:100.0   Yes: 1419   Oil        : 5187  
##  Median :1200   Median :150.0               Wood       :  986  
##  Mean   :1480   Mean   :174.4               Electricity:  831  
##  3rd Qu.:2000   3rd Qu.:220.0               Other      :  148  
##  Max.   :7090   Max.   :580.0               Coal       :  124  
##                                             (Other)    :   21  
##    Insurance                Language       HighIncome     
##  Min.   :   0.0   Asian Pacific :  639   Min.   :0.00000  
##  1st Qu.: 400.0   English       :14262   1st Qu.:0.00000  
##  Median : 720.0   Other         :  225   Median :0.00000  
##  Mean   : 958.9   Other European: 1640   Mean   :0.06139  
##  3rd Qu.:1200.0   Spanish       : 1430   3rd Qu.:0.00000  
##  Max.   :6600.0                          Max.   :1.00000  
##                                                           
##  foodstamp_binary     own_home     family_type_cat InsuranceHigh  
##  Min.   :0.00000   Min.   :0.000   Min.   :1.000   Min.   :0.000  
##  1st Qu.:0.00000   1st Qu.:2.000   1st Qu.:1.000   1st Qu.:0.000  
##  Median :0.00000   Median :2.000   Median :1.000   Median :0.000  
##  Mean   :0.07798   Mean   :1.781   Mean   :1.385   Mean   :0.326  
##  3rd Qu.:0.00000   3rd Qu.:2.000   3rd Qu.:1.000   3rd Qu.:1.000  
##  Max.   :1.00000   Max.   :2.000   Max.   :3.000   Max.   :1.000  
##                                                                   
##   NumWorkers2     HouseCostsHigh   high_electric    
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.00000  
##  1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:0.00000  
##  Median :0.0000   Median :1.0000   Median :0.00000  
##  Mean   :0.4768   Mean   :0.5433   Mean   :0.06666  
##  3rd Qu.:1.0000   3rd Qu.:1.0000   3rd Qu.:0.00000  
##  Max.   :1.0000   Max.   :1.0000   Max.   :1.00000  
## 

Histogram

# see that those that those that own home correlate with higher incomes overall
ggplot(acs_fit) + geom_histogram(aes(x=own_home), fill = "gray")
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

Scatterplots

# scatter number of workers and family income
ggplot(data=acs_fit) + geom_point(aes(x=NumWorkers, y=FamilyIncome))

# scatter plot shows that those not on foodstamps tend to have higher income = duh, but relevant for model later
ggplot(data=acs_fit) + geom_point(aes(x=foodstamp_binary, y=FamilyIncome))

# plot shows that homes with 2 workers correlate with higher incomes vs other number of workers
ggplot(data=acs_fit) + geom_point(aes(x=NumWorkers, y=FamilyIncome))

# notice that there are very few observations with male head type. Female head has lower income and married highest incomes
ggplot(data=acs_fit) + geom_point(aes(x=family_type_cat, y=FamilyIncome))

# scatter house costs and family income - see that higher house costs correlate to higher incomes (slightly) - nothin major though
ggplot(data=acs_fit) + geom_point(aes(x=HouseCosts, y=FamilyIncome))

# create matrix of scatterplots
# pairs(acs[,1:19])

Boxplot

coor_cartesian -> Setting limits on the coordinate system will zoom the plot (like you’re looking at it with a magnifying glass), and will not change the underlying data like setting limits on a scale will.

# See that outliers begin roughly around income of $100,000
ggplot(data=acs_fit) + geom_boxplot(aes(x=NumWorkers, y=FamilyIncome))  + coord_cartesian(ylim = c(0, 350000))
## Warning: Continuous x aesthetic -- did you forget aes(group=...)?

Density Plots

These show the density by variable on axis. These are useful to see the concentration range of values

ggplot(acs_fit) + geom_density(aes(x=acs_fit$FamilyIncome)) + scale_x_continuous(labels=dollar)

ggplot(acs_fit) + geom_density(aes(x=acs_fit$HouseCosts)) + scale_x_continuous(labels=dollar)

ggplot(acs_fit) + geom_density(aes(x=acs_fit$NumChildren)) + scale_x_continuous()

ggplot(acs_fit) + geom_density(aes(x=acs_fit$FamilyIncome)) + scale_x_log10(breaks =c(100,1000,10000,100000), labels=dollar) + annotation_logticks(sides="bt")

ggplot(acs_fit) + geom_density(aes(x=acs_fit$HouseCosts)) + scale_x_log10(breaks =c(100,1000,10000,100000), labels=dollar) + annotation_logticks(sides="bt")

# Misc Plots

# shows positive correlation between insurance and family income
ggplot(acs_fit, aes(x=acs_fit$Insurance, y=acs_fit$FamilyIncome)) +geom_point() + geom_smooth()
## `geom_smooth()` using method = 'gam'

# density plot for electrical bil
ggplot(acs_fit) + geom_density(aes(x=acs_fit$ElectricBill)) + scale_x_log10(breaks =c(100,1000,10000,100000), labels=dollar) + annotation_logticks(sides="bt")

# shows positive correlation between electric bill and family income
ggplot(acs_fit, aes(x=acs_fit$ElectricBill, y=acs_fit$FamilyIncome)) +geom_point() + geom_smooth()
## `geom_smooth()` using method = 'gam'

Group by analysis

# This shows a good spread or range of each family type group. This will lend itself well to being included in my analysis
ddply(acs_fit,.(FamilyType),summarise,family_type_count=length(FamilyIncome))
##    FamilyType family_type_count
## 1 Female Head              2594
## 2   Male Head               907
## 3     Married             14695
# Interesting look at mean income of family type grouped with home ownership type
ddply(acs_fit,.(FamilyType,OwnRent), summarise, mean_income=mean(FamilyIncome))
##    FamilyType  OwnRent mean_income
## 1 Female Head Mortgage    69983.15
## 2 Female Head Outright    92303.57
## 3 Female Head   Rented    34258.14
## 4   Male Head Mortgage    79298.16
## 5   Male Head Outright   213250.00
## 6   Male Head   Rented    47620.92
## 7     Married Mortgage   126152.48
## 8     Married Outright   110020.36
## 9     Married   Rented    71331.00
ddply(acs_fit,.(FamilyType,FoodStamp), summarise, mean_income=mean(FamilyIncome))
##    FamilyType FoodStamp mean_income
## 1 Female Head        No    67144.55
## 2 Female Head       Yes    37105.47
## 3   Male Head        No    78679.59
## 4   Male Head       Yes    45825.75
## 5     Married        No   124832.07
## 6     Married       Yes    61612.91
# simple look at mean income by foodstamp. Obvious results, but at the same time surprising to find that mean income 
# for those on food stamps in near $50k
ddply(acs_fit,.(FoodStamp), summarise, mean_income=mean(FamilyIncome))
##   FoodStamp mean_income
## 1        No   115898.77
## 2       Yes    49572.72
ddply(acs_fit,.(FoodStamp,NumBedrooms), summarise, mean_income=mean(FamilyIncome), num_bedrooms=mean(NumBedrooms))
##    FoodStamp NumBedrooms mean_income num_bedrooms
## 1         No           0    91092.92            0
## 2         No           1    68606.42            1
## 3         No           2    80216.78            2
## 4         No           3   102048.19            3
## 5         No           4   137687.35            4
## 6         No           5   173357.12            5
## 7         No           8   182832.27            8
## 8        Yes           0    36577.50            0
## 9        Yes           1    22038.06            1
## 10       Yes           2    33118.22            2
## 11       Yes           3    45066.36            3
## 12       Yes           4    62828.82            4
## 13       Yes           5    60499.15            5
## 14       Yes           8    82773.62            8
# This is a little excessive, but would be useful for piping it to a csv file (for example) if relevant to tasks at hand
ddply(acs,.(NumBedrooms,NumChildren,NumPeople,NumRooms,NumUnits,NumVehicles,NumWorkers), summarise, mean_income=mean(FamilyIncome))
##      NumBedrooms NumChildren NumPeople NumRooms        NumUnits
## 1              0           0         2        1 Single attached
## 2              0           0         2        1 Single detached
## 3              0           0         2        1 Single detached
## 4              0           0         2        1 Single detached
## 5              0           0         2        1 Single detached
## 6              0           0         2        1 Single detached
## 7              0           0         2        2     Mobile home
## 8              0           0         2        2 Single attached
## 9              0           0         2        2 Single detached
## 10             0           0         3        1 Single detached
## 11             0           0         3        3 Single detached
## 12             0           0         4        1 Single detached
## 13             0           0         4        3 Single detached
## 14             0           0         6        1 Single attached
## 15             0           1         3        1 Single attached
## 16             0           1         3        1 Single detached
## 17             0           1         3        2     Mobile home
## 18             0           1         3        2 Single detached
## 19             0           1         4        1 Single detached
## 20             0           1         4        2 Single detached
## 21             0           2         4        1 Single detached
## 22             0           2         4        1 Single detached
## 23             0           2         4        1 Single detached
## 24             0           2         4        2 Single detached
## 25             0           2         5        1 Single detached
## 26             0           2         5        2 Single detached
## 27             0           3         4        1 Single detached
## 28             0           3         5        2 Single detached
## 29             0           3         6        1     Mobile home
## 30             1           0         2        2     Mobile home
## 31             1           0         2        2 Single attached
## 32             1           0         2        2 Single attached
## 33             1           0         2        2 Single attached
## 34             1           0         2        2 Single attached
## 35             1           0         2        2 Single attached
## 36             1           0         2        2 Single attached
## 37             1           0         2        2 Single attached
## 38             1           0         2        2 Single attached
## 39             1           0         2        2 Single detached
## 40             1           0         2        2 Single detached
## 41             1           0         2        2 Single detached
## 42             1           0         2        2 Single detached
## 43             1           0         2        2 Single detached
## 44             1           0         2        2 Single detached
## 45             1           0         2        2 Single detached
## 46             1           0         2        3     Mobile home
## 47             1           0         2        3     Mobile home
## 48             1           0         2        3 Single attached
## 49             1           0         2        3 Single attached
## 50             1           0         2        3 Single attached
## 51             1           0         2        3 Single attached
## 52             1           0         2        3 Single attached
## 53             1           0         2        3 Single attached
## 54             1           0         2        3 Single attached
## 55             1           0         2        3 Single attached
## 56             1           0         2        3 Single detached
## 57             1           0         2        3 Single detached
## 58             1           0         2        3 Single detached
## 59             1           0         2        3 Single detached
## 60             1           0         2        3 Single detached
## 61             1           0         2        3 Single detached
## 62             1           0         2        3 Single detached
## 63             1           0         2        3 Single detached
## 64             1           0         2        3 Single detached
## 65             1           0         2        3 Single detached
## 66             1           0         2        3 Single detached
## 67             1           0         2        4 Single attached
## 68             1           0         2        4 Single attached
## 69             1           0         2        4 Single attached
## 70             1           0         2        4 Single attached
## 71             1           0         2        4 Single detached
## 72             1           0         2        4 Single detached
## 73             1           0         2        4 Single detached
## 74             1           0         2        4 Single detached
## 75             1           0         2        4 Single detached
## 76             1           0         2        4 Single detached
## 77             1           0         2        4 Single detached
## 78             1           0         2        4 Single detached
## 79             1           0         2        4 Single detached
## 80             1           0         2        4 Single detached
## 81             1           0         2        5     Mobile home
## 82             1           0         2        5     Mobile home
## 83             1           0         2        5     Mobile home
## 84             1           0         2        5 Single attached
## 85             1           0         2        5 Single attached
## 86             1           0         2        5 Single attached
## 87             1           0         2        5 Single detached
## 88             1           0         2        5 Single detached
## 89             1           0         2        5 Single detached
## 90             1           0         2        5 Single detached
## 91             1           0         2        5 Single detached
## 92             1           0         2        5 Single detached
## 93             1           0         2        5 Single detached
## 94             1           0         2        5 Single detached
## 95             1           0         2        6     Mobile home
## 96             1           0         2        6 Single attached
## 97             1           0         2        6 Single detached
## 98             1           0         2        6 Single detached
## 99             1           0         2        6 Single detached
## 100            1           0         2        6 Single detached
## 101            1           0         2        6 Single detached
## 102            1           0         2        6 Single detached
## 103            1           0         3        2 Single attached
## 104            1           0         3        2 Single detached
## 105            1           0         3        3 Single attached
## 106            1           0         3        3 Single attached
## 107            1           0         3        3 Single attached
## 108            1           0         3        3 Single detached
## 109            1           0         3        3 Single detached
## 110            1           0         3        4 Single attached
## 111            1           0         3        4 Single attached
## 112            1           0         3        4 Single detached
## 113            1           0         3        4 Single detached
## 114            1           0         3        5 Single attached
## 115            1           0         3        5 Single detached
## 116            1           0         3        5 Single detached
## 117            1           0         3        5 Single detached
## 118            1           0         3        6 Single attached
## 119            1           0         3        6 Single detached
## 120            1           0         3        6 Single detached
## 121            1           0         3        6 Single detached
## 122            1           0         4        2     Mobile home
## 123            1           0         4        2 Single attached
## 124            1           0         4        4 Single attached
## 125            1           0         4        6 Single detached
## 126            1           0         5        4 Single attached
## 127            1           0         5        5 Single detached
## 128            1           1         2        2 Single attached
## 129            1           1         2        2 Single attached
## 130            1           1         2        2 Single detached
## 131            1           1         2        3 Single attached
## 132            1           1         2        3 Single attached
## 133            1           1         2        3 Single detached
## 134            1           1         2        4     Mobile home
## 135            1           1         2        4 Single attached
## 136            1           1         2        4 Single detached
## 137            1           1         2        4 Single detached
## 138            1           1         3        2     Mobile home
## 139            1           1         3        2 Single attached
## 140            1           1         3        2 Single attached
## 141            1           1         3        2 Single detached
## 142            1           1         3        2 Single detached
## 143            1           1         3        3 Single attached
## 144            1           1         3        3 Single attached
## 145            1           1         3        3 Single detached
## 146            1           1         3        3 Single detached
## 147            1           1         3        3 Single detached
## 148            1           1         3        3 Single detached
## 149            1           1         3        3 Single detached
## 150            1           1         3        4 Single attached
## 151            1           1         3        4 Single detached
## 152            1           1         3        4 Single detached
## 153            1           1         3        4 Single detached
## 154            1           1         3        5     Mobile home
## 155            1           1         3        5 Single attached
## 156            1           1         3        5 Single attached
## 157            1           1         3        5 Single attached
## 158            1           1         3        5 Single detached
## 159            1           1         3        5 Single detached
## 160            1           1         3        6 Single attached
## 161            1           1         3        6 Single detached
## 162            1           1         3        6 Single detached
## 163            1           1         3        6 Single detached
## 164            1           1         4        2 Single detached
## 165            1           1         4        3 Single detached
## 166            1           1         4        4 Single detached
## 167            1           1         4        6 Single detached
## 168            1           2         3        3 Single attached
## 169            1           2         3        4 Single attached
## 170            1           2         4        2 Single attached
## 171            1           2         4        2 Single attached
## 172            1           2         4        2 Single detached
## 173            1           2         4        2 Single detached
## 174            1           2         4        3     Mobile home
## 175            1           2         4        3 Single attached
## 176            1           2         4        3 Single attached
## 177            1           2         4        3 Single detached
## 178            1           2         4        4 Single attached
## 179            1           2         4        4 Single attached
## 180            1           2         4        5 Single attached
## 181            1           2         4        5 Single detached
## 182            1           2         4        6 Single detached
## 183            1           2         5        2 Single attached
## 184            1           2         5        3 Single attached
## 185            1           2         5        6 Single attached
## 186            1           3         4        3 Single detached
## 187            1           3         5        3 Single detached
## 188            1           3         5        4 Single attached
## 189            1           3         5        4 Single detached
## 190            1           3         6        3 Single detached
## 191            1           5         7        4 Single attached
## 192            1           5         8        2 Single attached
## 193            2           0         2        3     Mobile home
## 194            2           0         2        3     Mobile home
## 195            2           0         2        3     Mobile home
## 196            2           0         2        3     Mobile home
## 197            2           0         2        3     Mobile home
## 198            2           0         2        3 Single attached
## 199            2           0         2        3 Single attached
## 200            2           0         2        3 Single attached
## 201            2           0         2        3 Single attached
## 202            2           0         2        3 Single attached
## 203            2           0         2        3 Single attached
## 204            2           0         2        3 Single attached
## 205            2           0         2        3 Single attached
## 206            2           0         2        3 Single detached
## 207            2           0         2        3 Single detached
## 208            2           0         2        3 Single detached
## 209            2           0         2        3 Single detached
## 210            2           0         2        3 Single detached
## 211            2           0         2        3 Single detached
## 212            2           0         2        3 Single detached
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## 5117           5           4         5       10 Single detached
## 5118           5           4         5       10 Single detached
## 5119           5           4         6        7 Single detached
## 5120           5           4         6        7 Single detached
## 5121           5           4         6        7 Single detached
## 5122           5           4         6        8 Single detached
## 5123           5           4         6        8 Single detached
## 5124           5           4         6        8 Single detached
## 5125           5           4         6        8 Single detached
## 5126           5           4         6        8 Single detached
## 5127           5           4         6        9 Single detached
## 5128           5           4         6        9 Single detached
## 5129           5           4         6        9 Single detached
## 5130           5           4         6        9 Single detached
## 5131           5           4         6        9 Single detached
## 5132           5           4         6        9 Single detached
## 5133           5           4         6       10 Single detached
## 5134           5           4         6       10 Single detached
## 5135           5           4         6       10 Single detached
## 5136           5           4         6       11 Single detached
## 5137           5           4         6       11 Single detached
## 5138           5           4         6       12 Single detached
## 5139           5           4         6       12 Single detached
## 5140           5           4         6       13 Single detached
## 5141           5           4         6       13 Single detached
## 5142           5           4         7        8 Single detached
## 5143           5           4         7        8 Single detached
## 5144           5           4         7        9 Single detached
## 5145           5           4         7        9 Single detached
## 5146           5           4         7       21 Single detached
## 5147           5           4         8        8 Single detached
## 5148           5           4         8        8 Single detached
## 5149           5           4         8        8 Single detached
## 5150           5           4         8        8 Single detached
## 5151           5           4         8       10     Mobile home
## 5152           5           4         8       12 Single detached
## 5153           5           4         9        7 Single detached
## 5154           5           4         9        8 Single detached
## 5155           5           4         9        8 Single detached
## 5156           5           4         9        8 Single detached
## 5157           5           4         9       12 Single attached
## 5158           5           4        10        7 Single detached
## 5159           5           4        11        8 Single detached
## 5160           5           5         6        9 Single attached
## 5161           5           5         7        7 Single attached
## 5162           5           5         7        7 Single detached
## 5163           5           5         7        7 Single detached
## 5164           5           5         7        8 Single detached
## 5165           5           5         7        8 Single detached
## 5166           5           5         7        8 Single detached
## 5167           5           5         7        8 Single detached
## 5168           5           5         7        9 Single detached
## 5169           5           5         7       10 Single attached
## 5170           5           5         7       10 Single detached
## 5171           5           5         7       10 Single detached
## 5172           5           5         7       12 Single attached
## 5173           5           5         7       21 Single detached
## 5174           5           5         8        9 Single detached
## 5175           5           5         8       10 Single detached
## 5176           5           5         8       10 Single detached
## 5177           5           5         9        8 Single detached
## 5178           5           5         9       12 Single detached
## 5179           5           5        10        8 Single attached
## 5180           5           5        12       11 Single detached
## 5181           5           6         7        8 Single detached
## 5182           5           6         8        8 Single attached
## 5183           5           6         8        8 Single detached
## 5184           5           6         8        8 Single detached
## 5185           5           6         8        8 Single detached
## 5186           5           6         8        9 Single detached
## 5187           5           6         8       10 Single detached
## 5188           5           6         8       12 Single detached
## 5189           5           6         8       21 Single detached
## 5190           5           6        10       10 Single detached
## 5191           5           7         9        7     Mobile home
## 5192           5           7         9        8 Single detached
## 5193           5           7         9        9 Single attached
## 5194           5           7         9        9 Single attached
## 5195           5           7         9       10 Single detached
## 5196           5           7         9       11 Single detached
## 5197           5           7         9       11 Single detached
## 5198           5           7         9       11 Single detached
## 5199           5           7        10        9 Single attached
## 5200           5           8        10        7 Single detached
## 5201           5           8        11        7 Single attached
## 5202           5           8        11       21 Single detached
## 5203           5           9        11        8 Single attached
## 5204           5          10        15        7 Single attached
## 5205           8           0         2        6 Single detached
## 5206           8           0         2        7 Single detached
## 5207           8           0         2        8 Single detached
## 5208           8           0         2        8 Single detached
## 5209           8           0         2        9 Single detached
## 5210           8           0         2        9 Single detached
## 5211           8           0         2        9 Single detached
## 5212           8           0         2        9 Single detached
## 5213           8           0         2        9 Single detached
## 5214           8           0         2       10 Single attached
## 5215           8           0         2       10 Single attached
## 5216           8           0         2       10 Single detached
## 5217           8           0         2       10 Single detached
## 5218           8           0         2       10 Single detached
## 5219           8           0         2       10 Single detached
## 5220           8           0         2       10 Single detached
## 5221           8           0         2       10 Single detached
## 5222           8           0         2       10 Single detached
## 5223           8           0         2       10 Single detached
## 5224           8           0         2       10 Single detached
## 5225           8           0         2       11 Single attached
## 5226           8           0         2       11 Single detached
## 5227           8           0         2       11 Single detached
## 5228           8           0         2       11 Single detached
## 5229           8           0         2       11 Single detached
## 5230           8           0         2       11 Single detached
## 5231           8           0         2       11 Single detached
## 5232           8           0         2       12 Single attached
## 5233           8           0         2       12 Single attached
## 5234           8           0         2       12 Single detached
## 5235           8           0         2       12 Single detached
## 5236           8           0         2       12 Single detached
## 5237           8           0         2       12 Single detached
## 5238           8           0         2       12 Single detached
## 5239           8           0         2       12 Single detached
## 5240           8           0         2       13 Single attached
## 5241           8           0         2       13 Single attached
## 5242           8           0         2       13 Single detached
## 5243           8           0         2       13 Single detached
## 5244           8           0         2       13 Single detached
## 5245           8           0         2       13 Single detached
## 5246           8           0         2       21 Single attached
## 5247           8           0         2       21 Single detached
## 5248           8           0         2       21 Single detached
## 5249           8           0         2       21 Single detached
## 5250           8           0         2       21 Single detached
## 5251           8           0         2       21 Single detached
## 5252           8           0         2       21 Single detached
## 5253           8           0         2       21 Single detached
## 5254           8           0         2       21 Single detached
## 5255           8           0         3        6 Single detached
## 5256           8           0         3        7 Single detached
## 5257           8           0         3        8 Single detached
## 5258           8           0         3        8 Single detached
## 5259           8           0         3        9 Single detached
## 5260           8           0         3        9 Single detached
## 5261           8           0         3        9 Single detached
## 5262           8           0         3        9 Single detached
## 5263           8           0         3       10 Single attached
## 5264           8           0         3       10 Single detached
## 5265           8           0         3       10 Single detached
## 5266           8           0         3       10 Single detached
## 5267           8           0         3       10 Single detached
## 5268           8           0         3       10 Single detached
## 5269           8           0         3       11 Single detached
## 5270           8           0         3       11 Single detached
## 5271           8           0         3       11 Single detached
## 5272           8           0         3       11 Single detached
## 5273           8           0         3       12 Single detached
## 5274           8           0         3       12 Single detached
## 5275           8           0         3       12 Single detached
## 5276           8           0         3       12 Single detached
## 5277           8           0         3       12 Single detached
## 5278           8           0         3       13 Single attached
## 5279           8           0         3       13 Single detached
## 5280           8           0         3       13 Single detached
## 5281           8           0         3       21     Mobile home
## 5282           8           0         3       21 Single attached
## 5283           8           0         3       21 Single detached
## 5284           8           0         3       21 Single detached
## 5285           8           0         3       21 Single detached
## 5286           8           0         3       21 Single detached
## 5287           8           0         3       21 Single detached
## 5288           8           0         4        8 Single detached
## 5289           8           0         4        8 Single detached
## 5290           8           0         4        8 Single detached
## 5291           8           0         4        9 Single attached
## 5292           8           0         4        9 Single detached
## 5293           8           0         4        9 Single detached
## 5294           8           0         4        9 Single detached
## 5295           8           0         4        9 Single detached
## 5296           8           0         4        9 Single detached
## 5297           8           0         4       10 Single attached
## 5298           8           0         4       10 Single detached
## 5299           8           0         4       10 Single detached
## 5300           8           0         4       10 Single detached
## 5301           8           0         4       10 Single detached
## 5302           8           0         4       10 Single detached
## 5303           8           0         4       10 Single detached
## 5304           8           0         4       11 Single detached
## 5305           8           0         4       11 Single detached
## 5306           8           0         4       11 Single detached
## 5307           8           0         4       11 Single detached
## 5308           8           0         4       12 Single detached
## 5309           8           0         4       12 Single detached
## 5310           8           0         4       13 Single detached
## 5311           8           0         4       13 Single detached
## 5312           8           0         4       21 Single detached
## 5313           8           0         5        6 Single detached
## 5314           8           0         5        8 Single detached
## 5315           8           0         5        8 Single detached
## 5316           8           0         5        8 Single detached
## 5317           8           0         5        8 Single detached
## 5318           8           0         5        9 Single detached
## 5319           8           0         5        9 Single detached
## 5320           8           0         5        9 Single detached
## 5321           8           0         5       10 Single detached
## 5322           8           0         5       10 Single detached
## 5323           8           0         5       10 Single detached
## 5324           8           0         5       10 Single detached
## 5325           8           0         5       10 Single detached
## 5326           8           0         5       10 Single detached
## 5327           8           0         5       11 Single detached
## 5328           8           0         5       11 Single detached
## 5329           8           0         5       12 Single detached
## 5330           8           0         5       12 Single detached
## 5331           8           0         5       12 Single detached
## 5332           8           0         5       13 Single detached
## 5333           8           0         5       13 Single detached
## 5334           8           0         5       21 Single detached
## 5335           8           0         6        8 Single detached
## 5336           8           0         6        8 Single detached
## 5337           8           0         6        9 Single detached
## 5338           8           0         6        9 Single detached
## 5339           8           0         6        9 Single detached
## 5340           8           0         6        9 Single detached
## 5341           8           0         6        9 Single detached
## 5342           8           0         6        9 Single detached
## 5343           8           0         6       10 Single detached
## 5344           8           0         6       10 Single detached
## 5345           8           0         6       10 Single detached
## 5346           8           0         6       12 Single detached
## 5347           8           0         6       12 Single detached
## 5348           8           0         6       13 Single attached
## 5349           8           0         6       13 Single attached
## 5350           8           0         6       13 Single detached
## 5351           8           0         6       21 Single detached
## 5352           8           0         6       21 Single detached
## 5353           8           0         6       21 Single detached
## 5354           8           0         7        7 Single detached
## 5355           8           0         7        7 Single detached
## 5356           8           0         7        8 Single detached
## 5357           8           0         7        9 Single detached
## 5358           8           0         7        9 Single detached
## 5359           8           0         7       10 Single detached
## 5360           8           0         7       10 Single detached
## 5361           8           0         7       10 Single detached
## 5362           8           0         7       11     Mobile home
## 5363           8           0         7       11 Single detached
## 5364           8           0         7       12 Single detached
## 5365           8           0         7       12 Single detached
## 5366           8           0         7       12 Single detached
## 5367           8           0         7       13     Mobile home
## 5368           8           0         7       21 Single detached
## 5369           8           0         7       21 Single detached
## 5370           8           0         8        8 Single attached
## 5371           8           0         8        9 Single detached
## 5372           8           0         8       10 Single detached
## 5373           8           0         8       10 Single detached
## 5374           8           0         8       10 Single detached
## 5375           8           0         8       12 Single detached
## 5376           8           0         8       21 Single attached
## 5377           8           0         8       21 Single detached
## 5378           8           0         8       21 Single detached
## 5379           8           0         9        8 Single attached
## 5380           8           0         9        9 Single detached
## 5381           8           0         9       10 Single detached
## 5382           8           0         9       10 Single detached
## 5383           8           0         9       10 Single detached
## 5384           8           0         9       11 Single detached
## 5385           8           0         9       12 Single detached
## 5386           8           0         9       21 Single detached
## 5387           8           0        10        9     Mobile home
## 5388           8           0        10       12 Single detached
## 5389           8           0        11       10 Single detached
## 5390           8           0        13       12 Single detached
## 5391           8           1         2       10 Single detached
## 5392           8           1         2       11 Single detached
## 5393           8           1         3        8 Single detached
## 5394           8           1         3        8 Single detached
## 5395           8           1         3        9 Single attached
## 5396           8           1         3        9 Single detached
## 5397           8           1         3       10 Single attached
## 5398           8           1         3       10 Single detached
## 5399           8           1         3       11 Single detached
## 5400           8           1         3       11 Single detached
## 5401           8           1         3       11 Single detached
## 5402           8           1         3       11 Single detached
## 5403           8           1         3       12 Single detached
## 5404           8           1         3       12 Single detached
## 5405           8           1         3       12 Single detached
## 5406           8           1         3       13 Single attached
## 5407           8           1         3       13 Single detached
## 5408           8           1         3       13 Single detached
## 5409           8           1         3       13 Single detached
## 5410           8           1         3       21 Single detached
## 5411           8           1         3       21 Single detached
## 5412           8           1         3       21 Single detached
## 5413           8           1         4        7 Single detached
## 5414           8           1         4        8 Single attached
## 5415           8           1         4        9 Single detached
## 5416           8           1         4        9 Single detached
## 5417           8           1         4        9 Single detached
## 5418           8           1         4       10 Single detached
## 5419           8           1         4       10 Single detached
## 5420           8           1         4       10 Single detached
## 5421           8           1         4       10 Single detached
## 5422           8           1         4       10 Single detached
## 5423           8           1         4       11 Single detached
## 5424           8           1         4       12 Single detached
## 5425           8           1         4       12 Single detached
## 5426           8           1         4       21 Single detached
## 5427           8           1         4       21 Single detached
## 5428           8           1         4       21 Single detached
## 5429           8           1         4       21 Single detached
## 5430           8           1         4       21 Single detached
## 5431           8           1         5        7 Single detached
## 5432           8           1         5        9 Single detached
## 5433           8           1         5        9 Single detached
## 5434           8           1         5       10 Single detached
## 5435           8           1         5       10 Single detached
## 5436           8           1         5       10 Single detached
## 5437           8           1         5       10 Single detached
## 5438           8           1         5       10 Single detached
## 5439           8           1         5       11 Single detached
## 5440           8           1         5       11 Single detached
## 5441           8           1         5       11 Single detached
## 5442           8           1         5       12 Single detached
## 5443           8           1         5       12 Single detached
## 5444           8           1         5       12 Single detached
## 5445           8           1         5       12 Single detached
## 5446           8           1         5       13 Single detached
## 5447           8           1         5       21 Single detached
## 5448           8           1         6        7 Single attached
## 5449           8           1         6        8 Single detached
## 5450           8           1         6       10 Single detached
## 5451           8           1         6       11 Single detached
## 5452           8           1         6       13 Single detached
## 5453           8           1         7        8 Single detached
## 5454           8           1         7       10 Single detached
## 5455           8           1         7       21 Single detached
## 5456           8           1         8        9 Single detached
## 5457           8           1         8       10 Single attached
## 5458           8           1         9        9 Single detached
## 5459           8           1         9       11 Single detached
## 5460           8           1         9       11 Single detached
## 5461           8           1        10        9 Single detached
## 5462           8           1        12        8 Single detached
## 5463           8           2         4        7 Single attached
## 5464           8           2         4        8 Single detached
## 5465           8           2         4        8 Single detached
## 5466           8           2         4        9 Single detached
## 5467           8           2         4        9 Single detached
## 5468           8           2         4        9 Single detached
## 5469           8           2         4       10 Single detached
## 5470           8           2         4       10 Single detached
## 5471           8           2         4       10 Single detached
## 5472           8           2         4       11 Single detached
## 5473           8           2         4       11 Single detached
## 5474           8           2         4       11 Single detached
## 5475           8           2         4       11 Single detached
## 5476           8           2         4       11 Single detached
## 5477           8           2         4       12 Single detached
## 5478           8           2         4       12 Single detached
## 5479           8           2         4       12 Single detached
## 5480           8           2         4       12 Single detached
## 5481           8           2         4       13 Single attached
## 5482           8           2         4       13 Single detached
## 5483           8           2         4       13 Single detached
## 5484           8           2         4       21 Single detached
## 5485           8           2         4       21 Single detached
## 5486           8           2         4       21 Single detached
## 5487           8           2         4       21 Single detached
## 5488           8           2         4       21 Single detached
## 5489           8           2         4       21 Single detached
## 5490           8           2         5        7 Single detached
## 5491           8           2         5        8 Single detached
## 5492           8           2         5        9 Single attached
## 5493           8           2         5        9 Single detached
## 5494           8           2         5       10 Single detached
## 5495           8           2         5       10 Single detached
## 5496           8           2         5       10 Single detached
## 5497           8           2         5       11 Single attached
## 5498           8           2         5       11 Single detached
## 5499           8           2         5       12 Single attached
## 5500           8           2         5       12 Single detached
## 5501           8           2         5       21 Single detached
## 5502           8           2         5       21 Single detached
## 5503           8           2         5       21 Single detached
## 5504           8           2         6        9 Single detached
## 5505           8           2         6        9 Single detached
## 5506           8           2         6        9 Single detached
## 5507           8           2         6       10 Single detached
## 5508           8           2         6       10 Single detached
## 5509           8           2         6       10 Single detached
## 5510           8           2         6       10 Single detached
## 5511           8           2         6       11 Single detached
## 5512           8           2         6       11 Single detached
## 5513           8           2         6       11 Single detached
## 5514           8           2         6       12 Single detached
## 5515           8           2         6       12 Single detached
## 5516           8           2         6       21 Single detached
## 5517           8           2         6       21 Single detached
## 5518           8           2         7        9 Single detached
## 5519           8           2         7        9 Single detached
## 5520           8           2         7       10 Single detached
## 5521           8           2         7       10 Single detached
## 5522           8           2         7       12 Single detached
## 5523           8           2         7       13 Single detached
## 5524           8           2         8        9 Single attached
## 5525           8           2         8        9 Single detached
## 5526           8           2         8       10 Single detached
## 5527           8           2         9       10 Single detached
## 5528           8           2         9       12 Single detached
## 5529           8           2        11       11 Single detached
## 5530           8           2        11       12 Single detached
## 5531           8           3         4       10 Single detached
## 5532           8           3         4       21 Single detached
## 5533           8           3         5        8 Single detached
## 5534           8           3         5        8 Single detached
## 5535           8           3         5        8 Single detached
## 5536           8           3         5       10 Single detached
## 5537           8           3         5       10 Single detached
## 5538           8           3         5       10 Single detached
## 5539           8           3         5       11 Single detached
## 5540           8           3         5       11 Single detached
## 5541           8           3         5       11 Single detached
## 5542           8           3         5       12 Single detached
## 5543           8           3         5       12 Single detached
## 5544           8           3         5       12 Single detached
## 5545           8           3         5       12 Single detached
## 5546           8           3         5       13 Single detached
## 5547           8           3         5       13 Single detached
## 5548           8           3         5       21 Single detached
## 5549           8           3         5       21 Single detached
## 5550           8           3         5       21 Single detached
## 5551           8           3         5       21 Single detached
## 5552           8           3         6        9 Single detached
## 5553           8           3         6        9 Single detached
## 5554           8           3         6       10 Single attached
## 5555           8           3         6       10 Single detached
## 5556           8           3         6       11 Single attached
## 5557           8           3         6       11 Single detached
## 5558           8           3         6       11 Single detached
## 5559           8           3         6       11 Single detached
## 5560           8           3         6       21 Single detached
## 5561           8           3         6       21 Single detached
## 5562           8           3         7        7 Single detached
## 5563           8           3         7        7 Single detached
## 5564           8           3         7        8     Mobile home
## 5565           8           3         7        8 Single detached
## 5566           8           3         7        8 Single detached
## 5567           8           3         7       10 Single detached
## 5568           8           3         7       11 Single detached
## 5569           8           3         7       11 Single detached
## 5570           8           3         7       12 Single detached
## 5571           8           3         7       13 Single attached
## 5572           8           3         7       21 Single detached
## 5573           8           3         8        9 Single detached
## 5574           8           3         8       13 Single detached
## 5575           8           3         9        8     Mobile home
## 5576           8           3         9       10 Single detached
## 5577           8           3         9       10 Single detached
## 5578           8           3        10        9 Single detached
## 5579           8           3        10       10 Single detached
## 5580           8           3        11       10 Single detached
## 5581           8           3        11       21 Single attached
## 5582           8           3        12       10 Single attached
## 5583           8           4         5        8 Single detached
## 5584           8           4         5       10 Single detached
## 5585           8           4         6        7 Single detached
## 5586           8           4         6        8 Single attached
## 5587           8           4         6        9 Single detached
## 5588           8           4         6       10 Single detached
## 5589           8           4         6       10 Single detached
## 5590           8           4         6       10 Single detached
## 5591           8           4         6       11 Single detached
## 5592           8           4         6       11 Single detached
## 5593           8           4         6       11 Single detached
## 5594           8           4         6       11 Single detached
## 5595           8           4         6       12 Single detached
## 5596           8           4         6       13 Single detached
## 5597           8           4         6       13 Single detached
## 5598           8           4         6       21 Single detached
## 5599           8           4         6       21 Single detached
## 5600           8           4         7       10 Single detached
## 5601           8           4         7       12 Single detached
## 5602           8           4         7       13 Single detached
## 5603           8           4         7       21 Single detached
## 5604           8           4         8        9 Single detached
## 5605           8           4         8       10 Single detached
## 5606           8           4         8       12 Single detached
## 5607           8           4         8       21 Single detached
## 5608           8           4         8       21 Single detached
## 5609           8           4         9       11 Single attached
## 5610           8           4        12       11 Single detached
## 5611           8           4        13        8 Single detached
## 5612           8           5         7        9 Single detached
## 5613           8           5         7        9 Single detached
## 5614           8           5         7       10 Single detached
## 5615           8           5         7       10 Single detached
## 5616           8           5         7       11 Single detached
## 5617           8           5         7       11 Single detached
## 5618           8           5         7       12 Single attached
## 5619           8           5         7       12 Single detached
## 5620           8           5         7       12 Single detached
## 5621           8           5         7       13 Single detached
## 5622           8           5         7       13 Single detached
## 5623           8           5         7       21 Single detached
## 5624           8           5         9        9 Single detached
## 5625           8           5         9       11 Single detached
## 5626           8           5        10       11 Single detached
## 5627           8           5        10       11 Single detached
## 5628           8           5        10       11 Single detached
## 5629           8           5        12       11 Single detached
## 5630           8           6         8        9 Single detached
## 5631           8           6         8       10 Single detached
## 5632           8           6         8       12 Single detached
## 5633           8           6         8       12 Single detached
## 5634           8           6         8       13 Single detached
## 5635           8           7         9        8 Single detached
## 5636           8           7        10       10 Single detached
## 5637           8           7        10       10 Single detached
## 5638           8           8        10        9 Single detached
## 5639           8           8        10        9 Single detached
## 5640           8           8        10       10 Single detached
## 5641           8           8        10       11 Single detached
## 5642           8          10        12        9 Single detached
## 5643           8          12        15       21 Single detached
##      NumVehicles NumWorkers mean_income
## 1              0          1   18200.000
## 2              1          2   24650.000
## 3              2          0   13600.000
## 4              2          2  128200.000
## 5              3          2  120100.000
## 6              4          2   86800.000
## 7              1          1   12000.000
## 8              1          2   21400.000
## 9              1          0   14900.000
## 10             2          3  122870.000
## 11             1          2   74150.000
## 12             2          2   96300.000
## 13             1          3  147000.000
## 14             2          2   40000.000
## 15             0          1   30700.000
## 16             2          2   74000.000
## 17             0          0     410.000
## 18             2          2  129000.000
## 19             3          2  154000.000
## 20             4          2   91500.000
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## 1845           2          3  100316.667
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## 1879           3          2  124794.062
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## 1884           5          2   90500.000
## 1885           2          2   30000.000
## 1886           3          0    8600.000
## 1887           1          1  200500.000
## 1888           1          2   90514.286
## 1889           1          3   82650.000
## 1890           2          1  124300.000
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## 1892           0          1   17800.000
## 1893           0          2  138500.000
## 1894           1          0   20133.333
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## 1896           1          2  102885.000
## 1897           2          0   57000.000
## 1898           2          1   78807.059
## 1899           2          2  123976.793
## 1900           2          3  107689.000
## 1901           3          1   72822.857
## 1902           3          2  101368.750
## 1903           3          3  103450.000
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## 1905           4          3  136750.000
## 1906           5          1   48400.000
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## 1908           3          2   69500.000
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## 1913           0          3   90000.000
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## 1915           1          2  103552.222
## 1916           2          1   95716.000
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## 1918           2          3  161433.333
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## 1939           4          1   76020.000
## 1940           5          2   95000.000
## 1941           1          1   22000.000
## 1942           1          2  132940.000
## 1943           2          0   13000.000
## 1944           2          1   61000.000
## 1945           2          2  120172.222
## 1946           2          3  186700.000
## 1947           3          1  120700.000
## 1948           3          2   95533.333
## 1949           3          3  168500.000
## 1950           4          2   33000.000
## 1951           5          1   80000.000
## 1952           5          2   78820.000
## 1953           1          0   23200.000
## 1954           1          2  101000.000
## 1955           2          0    4000.000
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## 1957           3          1  110000.000
## 1958           3          2  104000.000
## 1959           1          1   32000.000
## 1960           2          2   40000.000
## 1961           2          1   52100.000
## 1962           2          2  140000.000
## 1963           3          2  149000.000
## 1964           2          3   46900.000
## 1965           0          0    8860.000
## 1966           0          2   59000.000
## 1967           1          1   28000.000
## 1968           1          3  112900.000
## 1969           2          2   39000.000
## 1970           4          1  100000.000
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## 1972           0          3   60300.000
## 1973           1          2   67000.000
## 1974           2          2  123566.667
## 1975           2          3   45577.000
## 1976           3          1   59800.000
## 1977           3          3  123750.000
## 1978           4          2  148500.000
## 1979           1          2   38100.000
## 1980           2          1   63020.000
## 1981           2          2   54866.667
## 1982           3          2   31900.000
## 1983           0          1   22500.000
## 1984           1          1   50000.000
## 1985           1          2   44200.000
## 1986           1          3   84400.000
## 1987           2          3  205750.000
## 1988           3          3  132933.333
## 1989           1          1   41550.000
## 1990           1          2   72140.000
## 1991           1          3  111250.000
## 1992           2          1   28900.000
## 1993           2          2  105554.100
## 1994           2          3  165491.667
## 1995           3          2   87308.750
## 1996           3          3   99311.000
## 1997           4          2   58300.000
## 1998           4          3   88040.000
## 1999           5          3   64850.000
## 2000           3          3   63900.000
## 2001           4          2   80200.000
## 2002           0          2   58000.000
## 2003           0          3   12090.000
## 2004           1          1   40000.000
## 2005           1          2  111960.000
## 2006           1          3   95435.000
## 2007           2          1   83000.000
## 2008           2          2   80650.000
## 2009           2          3  124125.000
## 2010           3          1   51000.000
## 2011           3          2   93500.000
## 2012           3          3   91000.000
## 2013           4          3   80800.000
## 2014           0          3  184000.000
## 2015           1          0    8400.000
## 2016           1          1   37000.000
## 2017           1          2  117107.143
## 2018           1          3  127100.000
## 2019           2          0   40900.000
## 2020           2          1   41051.111
## 2021           2          2  105338.182
## 2022           2          3   95850.667
## 2023           3          0   12000.000
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## 2027           4          1   70000.000
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## 2030           6          3  140000.000
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ddply(acs_fit,.(OwnRent), summarise, mean_income=mean(FamilyIncome))
##    OwnRent mean_income
## 1 Mortgage   117551.80
## 2 Outright   109695.55
## 3   Rented    55771.63

Count (family income) by various important indicators/variables

# Family Type
tapply(acs_fit$FamilyIncome,acs_fit$FamilyType,length)
## Female Head   Male Head     Married 
##        2594         907       14695
tapply(acs_fit$FamilyIncome,acs_fit$FamilyType,mean)
## Female Head   Male Head     Married 
##    60242.74    72992.65   121966.88
# Own/Rent
tapply(acs_fit$FamilyIncome,acs_fit$OwnRent,length)
## Mortgage Outright   Rented 
##    16074      128     1994
tapply(acs_fit$FamilyIncome,acs_fit$OwnRent,mean)
##  Mortgage  Outright    Rented 
## 117551.80 109695.55  55771.63
# Insurance
tapply(acs_fit$FamilyIncome,acs_fit$FoodStamp,length)
##    No   Yes 
## 16777  1419
tapply(acs_fit$FamilyIncome,acs_fit$FoodStamp,mean)
##        No       Yes 
## 115898.77  49572.72

Task 3 - Building predictive classifier models using the entire training dataset

Let’s start by building a null model in which you simply predict that everyone’s income is < 250000 (since the majority of incomes are less than 250000).

acs$null_model <- 0

Create a confusion matrix table and compute the overall accuracy of this model as well as its sensitivity and specificity.

library(caret)
table(acs$HighIncome, acs$null_model)
##    
##         0
##   0 21356
##   1  1389
prop.table(table(acs$HighIncome, acs$null_model))
##    
##              0
##   0 0.93893163
##   1 0.06106837
confusionMatrix(as.factor(acs$null_model), as.factor(acs$HighIncome), positive = "1")
## Warning in confusionMatrix.default(as.factor(acs$null_model), as.factor(acs
## $HighIncome), : Levels are not in the same order for reference and data.
## Refactoring data to match.
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 21356  1389
##          1     0     0
##                                          
##                Accuracy : 0.9389         
##                  95% CI : (0.9357, 0.942)
##     No Information Rate : 0.9389         
##     P-Value [Acc > NIR] : 0.5071         
##                                          
##                   Kappa : 0              
##  Mcnemar's Test P-Value : <2e-16         
##                                          
##             Sensitivity : 0.00000        
##             Specificity : 1.00000        
##          Pos Pred Value :     NaN        
##          Neg Pred Value : 0.93893        
##              Prevalence : 0.06107        
##          Detection Rate : 0.00000        
##    Detection Prevalence : 0.00000        
##       Balanced Accuracy : 0.50000        
##                                          
##        'Positive' Class : 1              
## 

We would like to build a more accurate model than this. Your job is to build classifiers to predict the binary HighIncome we created. You will be using three different classification techniques: * decision trees (use rpart package - see Kaggle Titanic example from StatModels2 or session on trees) * logistic regression (see logistic regression examples we did in StatModels2) * k-nearest neighbor or some other technique (see kNN example we did in StatModels2) For each technique, you should: * build a few models with the training data * create confusion matrices (using caret package) to pick the best fit model for each technique * use your three best fit models (one from each technique) to predict using the test dataset and evaluate which of the models performs the best * write a few paragraphs discussing what you did and what you found. In particular, how difficult is it to predict HighIncome? Did one of the techniques outperform the other two?

Logistic Regression

  1. specify the model
  2. show summary results
  3. check fitted values from the model
  4. set variable equal to fitted values with probability greater than 50%
  5. show fitted values for visual check of model
  6. confusion matrix

logistic regression model 1

logmod1 <- glm(HighIncome ~ FamilyType + NumVehicles + OwnRent + Insurance + YearBuilt, data=acs_fit, family=binomial(link="logit"))
summary(logmod1)
## 
## Call:
## glm(formula = HighIncome ~ FamilyType + NumVehicles + OwnRent + 
##     Insurance + YearBuilt, family = binomial(link = "logit"), 
##     data = acs_fit)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.9844  -0.3540  -0.2875  -0.1979   3.3452  
## 
## Coefficients:
##                        Estimate Std. Error z value Pr(>|z|)    
## (Intercept)          -1.606e+01  1.539e+02  -0.104    0.917    
## FamilyTypeMale Head   6.722e-01  3.116e-01   2.157    0.031 *  
## FamilyTypeMarried     1.674e+00  2.035e-01   8.225  < 2e-16 ***
## NumVehicles           2.463e-01  3.374e-02   7.300 2.88e-13 ***
## OwnRentOutright       7.038e-01  3.182e-01   2.212    0.027 *  
## OwnRentRented        -1.159e-01  1.937e-01  -0.598    0.550    
## Insurance             6.605e-04  2.212e-05  29.855  < 2e-16 ***
## YearBuilt1940-1949    9.780e+00  1.539e+02   0.064    0.949    
## YearBuilt1950-1959    1.034e+01  1.539e+02   0.067    0.946    
## YearBuilt1960-1969    1.036e+01  1.539e+02   0.067    0.946    
## YearBuilt1970-1979    1.015e+01  1.539e+02   0.066    0.947    
## YearBuilt1980-1989    1.049e+01  1.539e+02   0.068    0.946    
## YearBuilt1990-1999    1.050e+01  1.539e+02   0.068    0.946    
## YearBuilt2000-2004    1.061e+01  1.539e+02   0.069    0.945    
## YearBuilt2005         1.071e+01  1.539e+02   0.070    0.945    
## YearBuilt2006         1.105e+01  1.539e+02   0.072    0.943    
## YearBuilt2007         1.074e+01  1.539e+02   0.070    0.944    
## YearBuilt2008         1.080e+01  1.539e+02   0.070    0.944    
## YearBuilt2009         1.046e+01  1.539e+02   0.068    0.946    
## YearBuilt2010         1.135e+01  1.539e+02   0.074    0.941    
## YearBuiltBefore 1939  1.033e+01  1.539e+02   0.067    0.946    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 8398.1  on 18195  degrees of freedom
## Residual deviance: 7076.0  on 18175  degrees of freedom
## AIC: 7118
## 
## Number of Fisher Scoring iterations: 12
#logmod1$fitted.values[1:10] - use this to check probabilities
yhat_logmod1 <- (logmod1$fitted.values > 0.05) * 1
#logmod1$y[1:200] - use this to check fitted values
summary(as.factor(yhat_logmod1))
##     0     1 
## 10666  7530
summary(logmod1$fitted.values)
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max. 
## 0.0000001 0.0251500 0.0438900 0.0613900 0.0667100 0.8604000
log_cm1 <- confusionMatrix(as.factor(yhat_logmod1), as.factor(acs_fit$HighIncome), positive = "1")
log_cm1
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 10458   208
##          1  6621   909
##                                           
##                Accuracy : 0.6247          
##                  95% CI : (0.6176, 0.6317)
##     No Information Rate : 0.9386          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.1157          
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.81379         
##             Specificity : 0.61233         
##          Pos Pred Value : 0.12072         
##          Neg Pred Value : 0.98050         
##              Prevalence : 0.06139         
##          Detection Rate : 0.04996         
##    Detection Prevalence : 0.41383         
##       Balanced Accuracy : 0.71306         
##                                           
##        'Positive' Class : 1               
## 

logistic regression model 2

logmod2 <- glm(HighIncome ~ FamilyType + FoodStamp + OwnRent, data=acs_fit, family=binomial(link="logit"))
summary(logmod2)
## 
## Call:
## glm(formula = HighIncome ~ FamilyType + FoodStamp + OwnRent, 
##     family = binomial(link = "logit"), data = acs_fit)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -0.4992  -0.4048  -0.4048  -0.1728   3.7799  
## 
## Coefficients:
##                     Estimate Std. Error z value Pr(>|z|)    
## (Intercept)          -4.1971     0.1947 -21.557  < 2e-16 ***
## FamilyTypeMale Head   0.6399     0.3026   2.114   0.0345 *  
## FamilyTypeMarried     1.7363     0.1968   8.821  < 2e-16 ***
## FoodStampYes         -1.9012     0.3578  -5.314 1.08e-07 ***
## OwnRentOutright       0.4413     0.2964   1.489   0.1365    
## OwnRentRented        -1.0447     0.1885  -5.541 3.00e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 8398.1  on 18195  degrees of freedom
## Residual deviance: 8037.1  on 18190  degrees of freedom
## AIC: 8049.1
## 
## Number of Fisher Scoring iterations: 7
#logmod2$fitted.values[1:10] - use this to check probabilities
yhat_logmod2 <- (logmod2$fitted.values > 0.5) * 1
#logmod2$y[1:50] - use this to check fitted values
log_cm2 <- confusionMatrix(as.factor(yhat_logmod2), as.factor(acs_fit$HighIncome), positive = "1")
## Warning in confusionMatrix.default(as.factor(yhat_logmod2),
## as.factor(acs_fit$HighIncome), : Levels are not in the same order for
## reference and data. Refactoring data to match.
log_cm2
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 17079  1117
##          1     0     0
##                                          
##                Accuracy : 0.9386         
##                  95% CI : (0.935, 0.9421)
##     No Information Rate : 0.9386         
##     P-Value [Acc > NIR] : 0.508          
##                                          
##                   Kappa : 0              
##  Mcnemar's Test P-Value : <2e-16         
##                                          
##             Sensitivity : 0.00000        
##             Specificity : 1.00000        
##          Pos Pred Value :     NaN        
##          Neg Pred Value : 0.93861        
##              Prevalence : 0.06139        
##          Detection Rate : 0.00000        
##    Detection Prevalence : 0.00000        
##       Balanced Accuracy : 0.50000        
##                                          
##        'Positive' Class : 1              
## 

logistic regression model 3

logmod3 <- glm(HighIncome ~ InsuranceHigh + NumWorkers2 + HouseCostsHigh + FoodStamp + OwnRent, data=acs_fit, family=binomial(link="logit"))
summary(logmod3)
## 
## Call:
## glm(formula = HighIncome ~ InsuranceHigh + NumWorkers2 + HouseCostsHigh + 
##     FoodStamp + OwnRent, family = binomial(link = "logit"), data = acs_fit)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.2253  -0.3183  -0.2682  -0.1640   3.6467  
## 
## Coefficients:
##                 Estimate Std. Error z value Pr(>|z|)    
## (Intercept)     -4.30241    0.09797 -43.915  < 2e-16 ***
## InsuranceHigh    1.34537    0.07504  17.929  < 2e-16 ***
## NumWorkers2      0.07590    0.06409   1.184   0.2363    
## HouseCostsHigh   1.26356    0.09694  13.035  < 2e-16 ***
## FoodStampYes    -2.07741    0.35866  -5.792 6.95e-09 ***
## OwnRentOutright  1.72956    0.31359   5.515 3.48e-08 ***
## OwnRentRented   -0.34415    0.19554  -1.760   0.0784 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 8398.1  on 18195  degrees of freedom
## Residual deviance: 7305.5  on 18189  degrees of freedom
## AIC: 7319.5
## 
## Number of Fisher Scoring iterations: 7
#logmod3$fit[18100:18196] - use this to check probabilities
yhat_logmod3 <- (logmod3$fit > 0.5) * 1
#logmod3$y[18000:18196] - use this to check fitted values
log_cm3 <- confusionMatrix(as.factor(yhat_logmod3), as.factor(acs_fit$HighIncome), positive = "1")
log_cm3
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 17078  1117
##          1     1     0
##                                         
##                Accuracy : 0.9386        
##                  95% CI : (0.935, 0.942)
##     No Information Rate : 0.9386        
##     P-Value [Acc > NIR] : 0.5203        
##                                         
##                   Kappa : -1e-04        
##  Mcnemar's Test P-Value : <2e-16        
##                                         
##             Sensitivity : 0.000e+00     
##             Specificity : 9.999e-01     
##          Pos Pred Value : 0.000e+00     
##          Neg Pred Value : 9.386e-01     
##              Prevalence : 6.139e-02     
##          Detection Rate : 0.000e+00     
##    Detection Prevalence : 5.496e-05     
##       Balanced Accuracy : 5.000e-01     
##                                         
##        'Positive' Class : 1             
## 

logistic regression model 4

logmod4 <- glm(HighIncome ~ InsuranceHigh + NumWorkers2 + HouseCostsHigh, data=acs_fit, family=binomial(link="logit"))
summary(logmod4)
## 
## Call:
## glm(formula = HighIncome ~ InsuranceHigh + NumWorkers2 + HouseCostsHigh, 
##     family = binomial(link = "logit"), data = acs_fit)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -0.5958  -0.3163  -0.2879  -0.1577   2.9642  
## 
## Coefficients:
##                Estimate Std. Error z value Pr(>|z|)    
## (Intercept)    -4.38071    0.09202 -47.604   <2e-16 ***
## InsuranceHigh   1.41041    0.07252  19.447   <2e-16 ***
## NumWorkers2     0.11334    0.06374   1.778   0.0753 .  
## HouseCostsHigh  1.21827    0.09407  12.950   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 8398.1  on 18195  degrees of freedom
## Residual deviance: 7404.8  on 18192  degrees of freedom
## AIC: 7412.8
## 
## Number of Fisher Scoring iterations: 6
#logmod4$fit[18100:18196] - use this to check probabilities
yhat_logmod4 <- (logmod4$fit > 0.5) * 1
#logmod4$y[18000:18196] - use this to check fitted values
log_cm4 <- confusionMatrix(as.factor(yhat_logmod4), as.factor(acs_fit$HighIncome), positive = "1")
## Warning in confusionMatrix.default(as.factor(yhat_logmod4),
## as.factor(acs_fit$HighIncome), : Levels are not in the same order for
## reference and data. Refactoring data to match.

logistic regression model 5

logmod5 <- glm(HighIncome ~ HouseCostsHigh, data=acs_fit, family=binomial(link="logit"))
summary(logmod5)
## 
## Call:
## glm(formula = HighIncome ~ HouseCostsHigh, family = binomial(link = "logit"), 
##     data = acs_fit)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -0.4537  -0.4537  -0.1909  -0.1909   2.8336  
## 
## Coefficients:
##                Estimate Std. Error z value Pr(>|z|)    
## (Intercept)    -3.99649    0.08239  -48.51   <2e-16 ***
## HouseCostsHigh  1.77486    0.08907   19.93   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 8398.1  on 18195  degrees of freedom
## Residual deviance: 7833.6  on 18194  degrees of freedom
## AIC: 7837.6
## 
## Number of Fisher Scoring iterations: 6
#logmod5$fit[18100:18196] - use this to check probabilities
yhat_logmod5 <- (logmod4$fit > 0.5) * 1
#logmod5$y[18000:18196] - use this to check fitted values
log_cm5 <- confusionMatrix(as.factor(yhat_logmod5), as.factor(acs_fit$HighIncome), positive = "1")
## Warning in confusionMatrix.default(as.factor(yhat_logmod5),
## as.factor(acs_fit$HighIncome), : Levels are not in the same order for
## reference and data. Refactoring data to match.
log_cm5
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 17079  1117
##          1     0     0
##                                          
##                Accuracy : 0.9386         
##                  95% CI : (0.935, 0.9421)
##     No Information Rate : 0.9386         
##     P-Value [Acc > NIR] : 0.508          
##                                          
##                   Kappa : 0              
##  Mcnemar's Test P-Value : <2e-16         
##                                          
##             Sensitivity : 0.00000        
##             Specificity : 1.00000        
##          Pos Pred Value :     NaN        
##          Neg Pred Value : 0.93861        
##              Prevalence : 0.06139        
##          Detection Rate : 0.00000        
##    Detection Prevalence : 0.00000        
##       Balanced Accuracy : 0.50000        
##                                          
##        'Positive' Class : 1              
## 

Linear Regression with predictions

linear regression model 1

# First linear regression to estimate family income with test data set
linear_mod1 <- lm(FamilyIncome ~ FamilyType + FoodStamp + OwnRent + HouseCosts + Insurance + ElectricBill + NumRooms, data=acs_fit)
summary(linear_mod1)
## 
## Call:
## lm(formula = FamilyIncome ~ FamilyType + FoodStamp + OwnRent + 
##     HouseCosts + Insurance + ElectricBill + NumRooms, data = acs_fit)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -372890  -39833   -9227   22628 1198390 
## 
## Coefficients:
##                       Estimate Std. Error t value Pr(>|t|)    
## (Intercept)         -2.550e+04  2.699e+03  -9.448  < 2e-16 ***
## FamilyTypeMale Head  8.939e+03  3.233e+03   2.765   0.0057 ** 
## FamilyTypeMarried    3.814e+04  1.866e+03  20.435  < 2e-16 ***
## FoodStampYes        -2.614e+04  2.485e+03 -10.519  < 2e-16 ***
## OwnRentOutright      4.074e+04  7.468e+03   5.455 4.95e-08 ***
## OwnRentRented       -1.391e+03  2.241e+03  -0.620   0.5350    
## HouseCosts           2.738e+01  6.451e-01  42.439  < 2e-16 ***
## Insurance            1.839e+01  7.637e-01  24.078  < 2e-16 ***
## ElectricBill         5.154e+01  6.313e+00   8.163 3.48e-16 ***
## NumRooms             5.537e+03  2.793e+02  19.823  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 83680 on 18186 degrees of freedom
## Multiple R-squared:  0.3138, Adjusted R-squared:  0.3135 
## F-statistic: 924.1 on 9 and 18186 DF,  p-value: < 2.2e-16

linear regression model 2

# Created another linear regression to estimate family income with test data set to be used for predicting high income
linear_mod2 <- lm(FamilyIncome ~ Insurance + HouseCosts + ElectricBill + NumWorkers + FamilyType + FoodStamp + OwnRent + NumBedrooms + NumChildren + NumRooms + NumPeople + NumVehicles + Language, data=acs_fit)
summary(linear_mod2)
## 
## Call:
## lm(formula = FamilyIncome ~ Insurance + HouseCosts + ElectricBill + 
##     NumWorkers + FamilyType + FoodStamp + OwnRent + NumBedrooms + 
##     NumChildren + NumRooms + NumPeople + NumVehicles + Language, 
##     data = acs_fit)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -386370  -37621   -9512   20578 1182262 
## 
## Coefficients:
##                          Estimate Std. Error t value Pr(>|t|)    
## (Intercept)            -4.907e+04  4.482e+03 -10.947  < 2e-16 ***
## Insurance               1.891e+01  7.552e-01  25.047  < 2e-16 ***
## HouseCosts              2.791e+01  6.532e-01  42.723  < 2e-16 ***
## ElectricBill            4.849e+01  6.330e+00   7.659 1.96e-14 ***
## NumWorkers              1.865e+04  8.823e+02  21.136  < 2e-16 ***
## FamilyTypeMale Head     7.558e+03  3.179e+03   2.378 0.017433 *  
## FamilyTypeMarried       3.036e+04  1.875e+03  16.191  < 2e-16 ***
## FoodStampYes           -1.214e+04  2.548e+03  -4.766 1.89e-06 ***
## OwnRentOutright         5.753e+04  7.362e+03   7.814 5.83e-15 ***
## OwnRentRented           7.785e+03  2.241e+03   3.474 0.000513 ***
## NumBedrooms             2.337e+03  7.579e+02   3.083 0.002050 ** 
## NumChildren             3.963e+03  7.790e+02   5.087 3.67e-07 ***
## NumRooms                4.482e+03  3.381e+02  13.254  < 2e-16 ***
## NumPeople              -7.638e+03  7.218e+02 -10.582  < 2e-16 ***
## NumVehicles             7.058e+03  7.393e+02   9.547  < 2e-16 ***
## LanguageEnglish         3.073e+03  3.400e+03   0.904 0.366076    
## LanguageOther          -1.447e+03  6.383e+03  -0.227 0.820722    
## LanguageOther European -1.789e+03  3.850e+03  -0.465 0.642238    
## LanguageSpanish        -9.829e+03  3.931e+03  -2.500 0.012415 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 82010 on 18177 degrees of freedom
## Multiple R-squared:  0.3413, Adjusted R-squared:  0.3407 
## F-statistic: 523.3 on 18 and 18177 DF,  p-value: < 2.2e-16
linear_mod2$fitted.values[1:25]
##          2          3          4          5          7          9 
##  15265.280 228892.405  37156.304  17581.839  -6974.918  53527.675 
##         12         15         16         17         18         19 
## -22107.414  33577.098  15333.216  91891.787  32025.055  59505.001 
##         20         21         22         23         24         25 
##   6686.889 -14647.771   6025.054  27790.468  70487.493  21273.056 
##         26         27         28         29         30         31 
##  60002.227  27223.323   9341.574  18643.608  97219.909   1705.970 
##         32 
##   8496.231
acs_fit$linest_HighIncome <- ifelse(linear_mod2$fit > 250000,1,0)
linear_cm2 <- confusionMatrix(as.factor(acs_fit$linest_HighIncome), as.factor(acs_fit$HighIncome), positive = "1")
linear_cm2
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 16862   857
##          1   217   260
##                                           
##                Accuracy : 0.941           
##                  95% CI : (0.9375, 0.9444)
##     No Information Rate : 0.9386          
##     P-Value [Acc > NIR] : 0.0941          
##                                           
##                   Kappa : 0.3005          
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.23277         
##             Specificity : 0.98729         
##          Pos Pred Value : 0.54507         
##          Neg Pred Value : 0.95163         
##              Prevalence : 0.06139         
##          Detection Rate : 0.01429         
##    Detection Prevalence : 0.02621         
##       Balanced Accuracy : 0.61003         
##                                           
##        'Positive' Class : 1               
## 

Regression Model Comparison

Could not get it to work how I wanted - I have the big chunk of code if you want to see it!

Comments on logit and linear regression model

  1. My linear model does estimate negative incomes, which is not logically or stastically sound However, the purpose is to find best predictive model. So I ignored this to see how accurate I could predict High Income I also created multiple linear regressions, and chose this one. I based my decision on R-squared and changes in adjusted R- squared as I added/subtracted variables.

  2. Best regression model = linear regression model 2 - based on accuracy at .941 (null model = .9389) and sensitivity at .23277

DECISION TREES

Decision tree 1

tree1 <- rpart(HighIncome ~ FamilyType + HouseCosts + NumWorkers2 + OwnRent + Insurance + NumWorkers2 + YearBuilt + NumBedrooms, data=acs_fit, method="class")
rpart.plot(tree1)

tree1
## n= 18196 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
## 1) root 18196 1117 0 (0.93861288 0.06138712)  
##   2) HouseCosts< 3440 17218  723 0 (0.95800906 0.04199094) *
##   3) HouseCosts>=3440 978  394 0 (0.59713701 0.40286299)  
##     6) HouseCosts< 4450 575  167 0 (0.70956522 0.29043478) *
##     7) HouseCosts>=4450 403  176 1 (0.43672457 0.56327543) *
head(predict(tree1))
##           0          1
## 2 0.9580091 0.04199094
## 3 0.9580091 0.04199094
## 4 0.9580091 0.04199094
## 5 0.9580091 0.04199094
## 7 0.9580091 0.04199094
## 9 0.9580091 0.04199094
head(predict(tree1, type="class"))
## 2 3 4 5 7 9 
## 0 0 0 0 0 0 
## Levels: 0 1
tree1_cm <- confusionMatrix(predict(tree1, type="class"), acs_fit$HighIncome, positive = "1")
tree1_cm
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 16903   890
##          1   176   227
##                                           
##                Accuracy : 0.9414          
##                  95% CI : (0.9379, 0.9448)
##     No Information Rate : 0.9386          
##     P-Value [Acc > NIR] : 0.05864         
##                                           
##                   Kappa : 0.2751          
##  Mcnemar's Test P-Value : < 2e-16         
##                                           
##             Sensitivity : 0.20322         
##             Specificity : 0.98969         
##          Pos Pred Value : 0.56328         
##          Neg Pred Value : 0.94998         
##              Prevalence : 0.06139         
##          Detection Rate : 0.01248         
##    Detection Prevalence : 0.02215         
##       Balanced Accuracy : 0.59646         
##                                           
##        'Positive' Class : 1               
## 

Decision tree 2

tree2 <- rpart(HighIncome ~ FoodStamp + Insurance + FamilyType, data=acs_fit, method="class", control=rpart.control(minsplit=2, cp=0))
rpart.plot(tree2)

tree2
## n= 18196 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
##    1) root 18196 1117 0 (0.938612882 0.061387118)  
##      2) Insurance< 1950 16258  611 0 (0.962418502 0.037581498)  
##        4) Insurance< 995 11256  239 0 (0.978766880 0.021233120)  
##          8) FamilyType=Female Head,Male Head 2482   18 0 (0.992747784 0.007252216) *
##          9) FamilyType=Married 8774  221 0 (0.974811944 0.025188056)  
##           18) Insurance< 795 7261  161 0 (0.977826746 0.022173254)  
##             36) Insurance>=265 5074   82 0 (0.983839180 0.016160820) *
##             37) Insurance< 265 2187   79 0 (0.963877458 0.036122542)  
##               74) FoodStamp=Yes 264    0 0 (1.000000000 0.000000000) *
##               75) FoodStamp=No 1923   79 0 (0.958918357 0.041081643)  
##                150) Insurance< 245 1832   73 0 (0.960152838 0.039847162)  
##                  300) Insurance>=25 357    8 0 (0.977591036 0.022408964) *
##                  301) Insurance< 25 1475   65 0 (0.955932203 0.044067797)  
##                    602) Insurance< 12 1472   63 0 (0.957201087 0.042798913) *
##                    603) Insurance>=12 3    1 1 (0.333333333 0.666666667) *
##                151) Insurance>=245 91    6 0 (0.934065934 0.065934066) *
##           19) Insurance>=795 1513   60 0 (0.960343688 0.039656312)  
##             38) Insurance>=955 101    1 0 (0.990099010 0.009900990) *
##             39) Insurance< 955 1412   59 0 (0.958215297 0.041784703)  
##               78) Insurance< 845 695   23 0 (0.966906475 0.033093525) *
##               79) Insurance>=845 717   36 0 (0.949790795 0.050209205)  
##                158) Insurance>=855 623   29 0 (0.953451043 0.046548957)  
##                  316) Insurance>=945 68    2 0 (0.970588235 0.029411765) *
##                  317) Insurance< 945 555   27 0 (0.951351351 0.048648649)  
##                    634) Insurance< 935 538   24 0 (0.955390335 0.044609665) *
##                    635) Insurance>=935 17    3 0 (0.823529412 0.176470588)  
##                     1270) FoodStamp=No 16    2 0 (0.875000000 0.125000000) *
##                     1271) FoodStamp=Yes 1    0 1 (0.000000000 1.000000000) *
##                159) Insurance< 855 94    7 0 (0.925531915 0.074468085) *
##        5) Insurance>=995 5002  372 0 (0.925629748 0.074370252) *
##      3) Insurance>=1950 1938  506 0 (0.738906089 0.261093911)  
##        6) Insurance< 3650 1516  323 0 (0.786939314 0.213060686) *
##        7) Insurance>=3650 422  183 0 (0.566350711 0.433649289)  
##         14) FamilyType=Female Head,Male Head 35    6 0 (0.828571429 0.171428571)  
##           28) Insurance< 4350 12    1 0 (0.916666667 0.083333333) *
##           29) Insurance>=4350 23    5 0 (0.782608696 0.217391304)  
##             58) Insurance>=4650 22    4 0 (0.818181818 0.181818182) *
##             59) Insurance< 4650 1    0 1 (0.000000000 1.000000000) *
##         15) FamilyType=Married 387  177 0 (0.542635659 0.457364341)  
##           30) Insurance< 4750 157   62 0 (0.605095541 0.394904459)  
##             60) Insurance>=4450 34    8 0 (0.764705882 0.235294118)  
##              120) Insurance< 4550 26    5 0 (0.807692308 0.192307692) *
##              121) Insurance>=4550 8    3 0 (0.625000000 0.375000000)  
##                242) Insurance>=4650 3    0 0 (1.000000000 0.000000000) *
##                243) Insurance< 4650 5    2 1 (0.400000000 0.600000000) *
##             61) Insurance< 4450 123   54 0 (0.560975610 0.439024390)  
##              122) Insurance>=3850 109   46 0 (0.577981651 0.422018349)  
##                244) Insurance< 4250 97   39 0 (0.597938144 0.402061856) *
##                245) Insurance>=4250 12    5 1 (0.416666667 0.583333333) *
##              123) Insurance< 3850 14    6 1 (0.428571429 0.571428571) *
##           31) Insurance>=4750 230  115 0 (0.500000000 0.500000000)  
##             62) Insurance>=5800 218  106 0 (0.513761468 0.486238532) *
##             63) Insurance< 5800 12    3 1 (0.250000000 0.750000000) *
head(predict(tree2))
##           0           1
## 2 0.9927478 0.007252216
## 3 0.8181818 0.181818182
## 4 0.9927478 0.007252216
## 5 0.9927478 0.007252216
## 7 0.9927478 0.007252216
## 9 0.9256297 0.074370252
head(predict(tree2, type="class"))
## 2 3 4 5 7 9 
## 0 0 0 0 0 0 
## Levels: 0 1
tree2_cm <- confusionMatrix(predict(tree2, type="class"), acs_fit$HighIncome, positive = "1")
tree2_cm
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 17062  1086
##          1    17    31
##                                           
##                Accuracy : 0.9394          
##                  95% CI : (0.9358, 0.9428)
##     No Information Rate : 0.9386          
##     P-Value [Acc > NIR] : 0.3397          
##                                           
##                   Kappa : 0.0484          
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.027753        
##             Specificity : 0.999005        
##          Pos Pred Value : 0.645833        
##          Neg Pred Value : 0.940159        
##              Prevalence : 0.061387        
##          Detection Rate : 0.001704        
##    Detection Prevalence : 0.002638        
##       Balanced Accuracy : 0.513379        
##                                           
##        'Positive' Class : 1               
## 

Decision tree 3

tree3 <- rpart(HighIncome ~ Insurance + ElectricBill + HouseCosts, data=acs_fit, method="class", control=rpart.control(minsplit=2, cp=.005))
rpart.plot(tree3)

tree3
## n= 18196 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
##  1) root 18196 1117 0 (0.93861288 0.06138712)  
##    2) HouseCosts< 3440 17218  723 0 (0.95800906 0.04199094) *
##    3) HouseCosts>=3440 978  394 0 (0.59713701 0.40286299)  
##      6) HouseCosts< 4450 575  167 0 (0.70956522 0.29043478) *
##      7) HouseCosts>=4450 403  176 1 (0.43672457 0.56327543)  
##       14) ElectricBill< 430 326  156 1 (0.47852761 0.52147239)  
##         28) Insurance< 865 20    3 0 (0.85000000 0.15000000) *
##         29) Insurance>=865 306  139 1 (0.45424837 0.54575163)  
##           58) Insurance< 2350 135   64 0 (0.52592593 0.47407407) *
##           59) Insurance>=2350 171   68 1 (0.39766082 0.60233918) *
##       15) ElectricBill>=430 77   20 1 (0.25974026 0.74025974) *
head(predict(tree3))
##           0          1
## 2 0.9580091 0.04199094
## 3 0.9580091 0.04199094
## 4 0.9580091 0.04199094
## 5 0.9580091 0.04199094
## 7 0.9580091 0.04199094
## 9 0.9580091 0.04199094
head(predict(tree3, type="class"))
## 2 3 4 5 7 9 
## 0 0 0 0 0 0 
## Levels: 0 1
tree3_cm <- confusionMatrix(predict(tree3, type="class"), acs_fit$HighIncome, positive = "1")
tree3_cm
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 16991   957
##          1    88   160
##                                           
##                Accuracy : 0.9426          
##                  95% CI : (0.9391, 0.9459)
##     No Information Rate : 0.9386          
##     P-Value [Acc > NIR] : 0.013           
##                                           
##                   Kappa : 0.217           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.143241        
##             Specificity : 0.994847        
##          Pos Pred Value : 0.645161        
##          Neg Pred Value : 0.946679        
##              Prevalence : 0.061387        
##          Detection Rate : 0.008793        
##    Detection Prevalence : 0.013629        
##       Balanced Accuracy : 0.569044        
##                                           
##        'Positive' Class : 1               
## 

Decision tree 4

tree4 <- rpart(HighIncome ~ Insurance + ElectricBill + HouseCosts + NumBedrooms + NumChildren + NumPeople + NumRooms + NumVehicles + NumWorkers + FoodStamp + OwnRent + ElectricBill + HouseCosts, data=acs_fit, method="class", control=rpart.control(minsplit=2, cp=0))
rpart.plot(tree4)
## Warning: labs do not fit even at cex 0.15, there may be some overplotting

tree4
## n= 18196 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
##        1) root 18196 1117 0 (0.938612882 0.061387118)  
##          2) HouseCosts< 3440 17218  723 0 (0.958009060 0.041990940)  
##            4) Insurance< 1950 15794  480 0 (0.969608712 0.030391288)  
##              8) HouseCosts< 1905 12585  243 0 (0.980691299 0.019308701)  
##               16) Insurance< 995 9916  124 0 (0.987494958 0.012505042)  
##                 32) OwnRent=Mortgage,Rented 9816  113 0 (0.988488183 0.011511817)  
##                   64) HouseCosts< 995 6416   41 0 (0.993609726 0.006390274)  
##                    128) NumRooms< 11.5 6319   36 0 (0.994302896 0.005697104)  
##                      256) NumVehicles< 5.5 6295   34 0 (0.994598888 0.005401112)  
##                        512) HouseCosts>=65 6254   32 0 (0.994883275 0.005116725)  
##                         1024) NumWorkers< 1.5 2620    6 0 (0.997709924 0.002290076)  
##                           2048) NumVehicles< 1.5 1161    0 0 (1.000000000 0.000000000) *
##                           2049) NumVehicles>=1.5 1459    6 0 (0.995887594 0.004112406)  
##                             4098) ElectricBill< 245 1324    4 0 (0.996978852 0.003021148)  
##                               8196) HouseCosts< 645 856    1 0 (0.998831776 0.001168224)  
##                                16392) NumChildren< 1.5 705    0 0 (1.000000000 0.000000000) *
##                                16393) NumChildren>=1.5 151    1 0 (0.993377483 0.006622517)  
##                                  32786) NumBedrooms>=2.5 135    0 0 (1.000000000 0.000000000) *
##                                  32787) NumBedrooms< 2.5 16    1 0 (0.937500000 0.062500000)  
##                                    65574) ElectricBill>=85 14    0 0 (1.000000000 0.000000000) *
##                                    65575) ElectricBill< 85 2    1 0 (0.500000000 0.500000000)  
##                                     131150) Insurance>=220 1    0 0 (1.000000000 0.000000000) *
##                                     131151) Insurance< 220 1    0 1 (0.000000000 1.000000000) *
##                               8197) HouseCosts>=645 468    3 0 (0.993589744 0.006410256)  
##                                16394) HouseCosts>=655 437    2 0 (0.995423341 0.004576659)  
##                                  32788) NumRooms< 9.5 406    1 0 (0.997536946 0.002463054)  
##                                    65576) ElectricBill< 155 313    0 0 (1.000000000 0.000000000) *
##                                    65577) ElectricBill>=155 93    1 0 (0.989247312 0.010752688)  
##                                     131154) ElectricBill>=165 73    0 0 (1.000000000 0.000000000) *
##                                     131155) ElectricBill< 165 20    1 0 (0.950000000 0.050000000)  
##                                       262310) Insurance>=425 14    0 0 (1.000000000 0.000000000) *
##                                       262311) Insurance< 425 6    1 0 (0.833333333 0.166666667)  
##                                         524622) Insurance< 380 5    0 0 (1.000000000 0.000000000) *
##                                         524623) Insurance>=380 1    0 1 (0.000000000 1.000000000) *
##                                  32789) NumRooms>=9.5 31    1 0 (0.967741935 0.032258065)  
##                                    65578) OwnRent=Mortgage 25    0 0 (1.000000000 0.000000000) *
##                                    65579) OwnRent=Rented 6    1 0 (0.833333333 0.166666667)  
##                                     131158) NumChildren>=0.5 5    0 0 (1.000000000 0.000000000) *
##                                     131159) NumChildren< 0.5 1    0 1 (0.000000000 1.000000000) *
##                                16395) HouseCosts< 655 31    1 0 (0.967741935 0.032258065)  
##                                  32790) NumVehicles< 2.5 26    0 0 (1.000000000 0.000000000) *
##                                  32791) NumVehicles>=2.5 5    1 0 (0.800000000 0.200000000)  
##                                    65582) NumRooms>=5.5 4    0 0 (1.000000000 0.000000000) *
##                                    65583) NumRooms< 5.5 1    0 1 (0.000000000 1.000000000) *
##                             4099) ElectricBill>=245 135    2 0 (0.985185185 0.014814815)  
##                               8198) NumRooms>=4.5 123    1 0 (0.991869919 0.008130081)  
##                                16396) NumRooms< 8.5 102    0 0 (1.000000000 0.000000000) *
##                                16397) NumRooms>=8.5 21    1 0 (0.952380952 0.047619048)  
##                                  32794) ElectricBill>=255 17    0 0 (1.000000000 0.000000000) *
##                                  32795) ElectricBill< 255 4    1 0 (0.750000000 0.250000000)  
##                                    65590) HouseCosts>=515 3    0 0 (1.000000000 0.000000000) *
##                                    65591) HouseCosts< 515 1    0 1 (0.000000000 1.000000000) *
##                               8199) NumRooms< 4.5 12    1 0 (0.916666667 0.083333333)  
##                                16398) Insurance< 310 8    0 0 (1.000000000 0.000000000) *
##                                16399) Insurance>=310 4    1 0 (0.750000000 0.250000000)  
##                                  32798) Insurance>=370 3    0 0 (1.000000000 0.000000000) *
##                                  32799) Insurance< 370 1    0 1 (0.000000000 1.000000000) *
##                         1025) NumWorkers>=1.5 3634   26 0 (0.992845349 0.007154651)  
##                           2050) NumChildren< 2.5 3364   21 0 (0.993757432 0.006242568)  
##                             4100) NumChildren>=1.5 628    1 0 (0.998407643 0.001592357)  
##                               8200) ElectricBill< 245 565    0 0 (1.000000000 0.000000000) *
##                               8201) ElectricBill>=245 63    1 0 (0.984126984 0.015873016)  
##                                16402) ElectricBill>=255 46    0 0 (1.000000000 0.000000000) *
##                                16403) ElectricBill< 255 17    1 0 (0.941176471 0.058823529)  
##                                  32806) Insurance>=275 14    0 0 (1.000000000 0.000000000) *
##                                  32807) Insurance< 275 3    1 0 (0.666666667 0.333333333)  
##                                    65614) Insurance< 125 2    0 0 (1.000000000 0.000000000) *
##                                    65615) Insurance>=125 1    0 1 (0.000000000 1.000000000) *
##                             4101) NumChildren< 1.5 2736   20 0 (0.992690058 0.007309942)  
##                               8202) NumRooms< 5.5 682    2 0 (0.997067449 0.002932551)  
##                                16404) NumBedrooms< 3.5 668    1 0 (0.998502994 0.001497006)  
##                                  32808) ElectricBill>=35 641    0 0 (1.000000000 0.000000000) *
##                                  32809) ElectricBill< 35 27    1 0 (0.962962963 0.037037037)  
##                                    65618) HouseCosts< 870 24    0 0 (1.000000000 0.000000000) *
##                                    65619) HouseCosts>=870 3    1 0 (0.666666667 0.333333333)  
##                                     131238) NumRooms>=4 2    0 0 (1.000000000 0.000000000) *
##                                     131239) NumRooms< 4 1    0 1 (0.000000000 1.000000000) *
##                                16405) NumBedrooms>=3.5 14    1 0 (0.928571429 0.071428571)  
##                                  32810) ElectricBill< 235 12    0 0 (1.000000000 0.000000000) *
##                                  32811) ElectricBill>=235 2    1 0 (0.500000000 0.500000000)  
##                                    65622) Insurance>=180 1    0 0 (1.000000000 0.000000000) *
##                                    65623) Insurance< 180 1    0 1 (0.000000000 1.000000000) *
##                               8203) NumRooms>=5.5 2054   18 0 (0.991236611 0.008763389)  
##                                16406) NumVehicles>=1.5 1868   14 0 (0.992505353 0.007494647)  
##                                  32812) Insurance>=785 244    0 0 (1.000000000 0.000000000) *
##                                  32813) Insurance< 785 1624   14 0 (0.991379310 0.008620690)  
##                                    65626) Insurance< 775 1612   13 0 (0.991935484 0.008064516)  
##                                     131252) NumVehicles< 2.5 893    5 0 (0.994400896 0.005599104)  
##                                       262504) Insurance< 745 871    4 0 (0.995407577 0.004592423)  
##                                         525008) HouseCosts>=405 693    2 0 (0.997113997 0.002886003)  
##                                          1050016) NumRooms>=6.5 437    0 0 (1.000000000 0.000000000) *
##                                          1050017) NumRooms< 6.5 256    2 0 (0.992187500 0.007812500)  
##                                            2100034) NumBedrooms< 3.5 236    1 0 (0.995762712 0.004237288)  
##                                              4200068) NumBedrooms>=2.5 191    0 0 (1.000000000 0.000000000) *
##                                              4200069) NumBedrooms< 2.5 45    1 0 (0.977777778 0.022222222)  
##                                                8400138) HouseCosts< 785 27    0 0 (1.000000000 0.000000000) *
##                                                8400139) HouseCosts>=785 18    1 0 (0.944444444 0.055555556)  
##                                                 16800278) HouseCosts>=795 16    0 0 (1.000000000 0.000000000) *
##                                                 16800279) HouseCosts< 795 2    1 0 (0.500000000 0.500000000)  
##                                                   33600558) ElectricBill>=135 1    0 0 (1.000000000 0.000000000) *
##                                                   33600559) ElectricBill< 135 1    0 1 (0.000000000 1.000000000) *
##                                            2100035) NumBedrooms>=3.5 20    1 0 (0.950000000 0.050000000)  
##                                              4200070) ElectricBill< 195 16    0 0 (1.000000000 0.000000000) *
##                                              4200071) ElectricBill>=195 4    1 0 (0.750000000 0.250000000)  
##                                                8400142) NumPeople>=2.5 3    0 0 (1.000000000 0.000000000) *
##                                                8400143) NumPeople< 2.5 1    0 1 (0.000000000 1.000000000) *
##                                         525009) HouseCosts< 405 178    2 0 (0.988764045 0.011235955)  
##                                          1050018) Insurance< 625 166    1 0 (0.993975904 0.006024096)  
##                                            2100036) HouseCosts>=275 97    0 0 (1.000000000 0.000000000) *
##                                            2100037) HouseCosts< 275 69    1 0 (0.985507246 0.014492754)  
##                                              4200074) HouseCosts< 265 65    0 0 (1.000000000 0.000000000) *
##                                              4200075) HouseCosts>=265 4    1 0 (0.750000000 0.250000000)  
##                                                8400150) Insurance< 425 3    0 0 (1.000000000 0.000000000) *
##                                                8400151) Insurance>=425 1    0 1 (0.000000000 1.000000000) *
##                                          1050019) Insurance>=625 12    1 0 (0.916666667 0.083333333)  
##                                            2100038) Insurance>=665 11    0 0 (1.000000000 0.000000000) *
##                                            2100039) Insurance< 665 1    0 1 (0.000000000 1.000000000) *
##                                       262505) Insurance>=745 22    1 0 (0.954545455 0.045454545)  
##                                         525010) HouseCosts< 740 15    0 0 (1.000000000 0.000000000) *
##                                         525011) HouseCosts>=740 7    1 0 (0.857142857 0.142857143)  
##                                          1050022) HouseCosts>=765 6    0 0 (1.000000000 0.000000000) *
##                                          1050023) HouseCosts< 765 1    0 1 (0.000000000 1.000000000) *
##                                     131253) NumVehicles>=2.5 719    8 0 (0.988873435 0.011126565)  
##                                       262506) HouseCosts< 925 670    6 0 (0.991044776 0.008955224)  
##                                         525012) Insurance>=305 515    2 0 (0.996116505 0.003883495)  
##                                          1050024) NumBedrooms< 4.5 491    1 0 (0.997963340 0.002036660)  
##                                            2100048) HouseCosts< 835 419    0 0 (1.000000000 0.000000000) *
##                                            2100049) HouseCosts>=835 72    1 0 (0.986111111 0.013888889)  
##                                              4200098) HouseCosts>=845 64    0 0 (1.000000000 0.000000000) *
##                                              4200099) HouseCosts< 845 8    1 0 (0.875000000 0.125000000)  
##                                                8400198) ElectricBill< 165 6    0 0 (1.000000000 0.000000000) *
##                                                8400199) ElectricBill>=165 2    1 0 (0.500000000 0.500000000)  
##                                                 16800398) Insurance< 505 1    0 0 (1.000000000 0.000000000) *
##                                                 16800399) Insurance>=505 1    0 1 (0.000000000 1.000000000) *
##                                          1050025) NumBedrooms>=4.5 24    1 0 (0.958333333 0.041666667)  
##                                            2100050) HouseCosts>=380 20    0 0 (1.000000000 0.000000000) *
##                                            2100051) HouseCosts< 380 4    1 0 (0.750000000 0.250000000)  
##                                              4200102) ElectricBill< 135 3    0 0 (1.000000000 0.000000000) *
##                                              4200103) ElectricBill>=135 1    0 1 (0.000000000 1.000000000) *
##                                         525013) Insurance< 305 155    4 0 (0.974193548 0.025806452)  
##                                          1050026) NumBedrooms>=3.5 64    0 0 (1.000000000 0.000000000) *
##                                          1050027) NumBedrooms< 3.5 91    4 0 (0.956043956 0.043956044)  
##                                            2100054) Insurance< 290 71    2 0 (0.971830986 0.028169014)  
##                                              4200108) NumPeople< 4.5 61    1 0 (0.983606557 0.016393443)  
##                                                8400216) NumBedrooms>=2.5 51    0 0 (1.000000000 0.000000000) *
##                                                8400217) NumBedrooms< 2.5 10    1 0 (0.900000000 0.100000000)  
##                                                 16800434) ElectricBill< 135 8    0 0 (1.000000000 0.000000000) *
##                                                 16800435) ElectricBill>=135 2    1 0 (0.500000000 0.500000000)  
##                                                   33600870) Insurance>=2 1    0 0 (1.000000000 0.000000000) *
##                                                   33600871) Insurance< 2 1    0 1 (0.000000000 1.000000000) *
##                                              4200109) NumPeople>=4.5 10    1 0 (0.900000000 0.100000000)  
##                                                8400218) ElectricBill>=125 7    0 0 (1.000000000 0.000000000) *
##                                                8400219) ElectricBill< 125 3    1 0 (0.666666667 0.333333333)  
##                                                 16800438) ElectricBill< 115 2    0 0 (1.000000000 0.000000000) *
##                                                 16800439) ElectricBill>=115 1    0 1 (0.000000000 1.000000000) *
##                                            2100055) Insurance>=290 20    2 0 (0.900000000 0.100000000)  
##                                              4200110) ElectricBill>=105 13    0 0 (1.000000000 0.000000000) *
##                                              4200111) ElectricBill< 105 7    2 0 (0.714285714 0.285714286)  
##                                                8400222) NumRooms>=6.5 3    0 0 (1.000000000 0.000000000) *
##                                                8400223) NumRooms< 6.5 4    2 0 (0.500000000 0.500000000)  
##                                                 16800446) ElectricBill< 90 3    1 0 (0.666666667 0.333333333)  
##                                                   33600892) ElectricBill>=70 1    0 0 (1.000000000 0.000000000) *
##                                                   33600893) ElectricBill< 70 2    1 0 (0.500000000 0.500000000)  
##                                                     67201786) HouseCosts>=730 1    0 0 (1.000000000 0.000000000) *
##                                                     67201787) HouseCosts< 730 1    0 1 (0.000000000 1.000000000) *
##                                                 16800447) ElectricBill>=90 1    0 1 (0.000000000 1.000000000) *
##                                       262507) HouseCosts>=925 49    2 0 (0.959183673 0.040816327)  
##                                         525014) Insurance< 690 45    1 0 (0.977777778 0.022222222)  
##                                          1050028) ElectricBill< 240 39    0 0 (1.000000000 0.000000000) *
##                                          1050029) ElectricBill>=240 6    1 0 (0.833333333 0.166666667)  
##                                            2100058) Insurance< 490 4    0 0 (1.000000000 0.000000000) *
##                                            2100059) Insurance>=490 2    1 0 (0.500000000 0.500000000)  
##                                              4200118) Insurance>=580 1    0 0 (1.000000000 0.000000000) *
##                                              4200119) Insurance< 580 1    0 1 (0.000000000 1.000000000) *
##                                         525015) Insurance>=690 4    1 0 (0.750000000 0.250000000)  
##                                          1050030) HouseCosts>=960 2    0 0 (1.000000000 0.000000000) *
##                                          1050031) HouseCosts< 960 2    1 0 (0.500000000 0.500000000)  
##                                            2100062) ElectricBill>=225 1    0 0 (1.000000000 0.000000000) *
##                                            2100063) ElectricBill< 225 1    0 1 (0.000000000 1.000000000) *
##                                    65627) Insurance>=775 12    1 0 (0.916666667 0.083333333)  
##                                     131254) HouseCosts>=235 10    0 0 (1.000000000 0.000000000) *
##                                     131255) HouseCosts< 235 2    1 0 (0.500000000 0.500000000)  
##                                       262510) ElectricBill>=200 1    0 0 (1.000000000 0.000000000) *
##                                       262511) ElectricBill< 200 1    0 1 (0.000000000 1.000000000) *
##                                16407) NumVehicles< 1.5 186    4 0 (0.978494624 0.021505376)  
##                                  32814) Insurance< 495 115    0 0 (1.000000000 0.000000000) *
##                                  32815) Insurance>=495 71    4 0 (0.943661972 0.056338028)  
##                                    65630) Insurance>=510 63    2 0 (0.968253968 0.031746032)  
##                                     131260) ElectricBill>=65 49    0 0 (1.000000000 0.000000000) *
##                                     131261) ElectricBill< 65 14    2 0 (0.857142857 0.142857143)  
##                                       262522) NumRooms< 8.5 13    1 0 (0.923076923 0.076923077)  
##                                         525044) HouseCosts< 845 10    0 0 (1.000000000 0.000000000) *
##                                         525045) HouseCosts>=845 3    1 0 (0.666666667 0.333333333)  
##                                          1050090) HouseCosts>=895 2    0 0 (1.000000000 0.000000000) *
##                                          1050091) HouseCosts< 895 1    0 1 (0.000000000 1.000000000) *
##                                       262523) NumRooms>=8.5 1    0 1 (0.000000000 1.000000000) *
##                                    65631) Insurance< 510 8    2 0 (0.750000000 0.250000000)  
##                                     131262) ElectricBill>=75 7    1 0 (0.857142857 0.142857143)  
##                                       262524) ElectricBill< 185 6    0 0 (1.000000000 0.000000000) *
##                                       262525) ElectricBill>=185 1    0 1 (0.000000000 1.000000000) *
##                                     131263) ElectricBill< 75 1    0 1 (0.000000000 1.000000000) *
##                           2051) NumChildren>=2.5 270    5 0 (0.981481481 0.018518519)  
##                             4102) NumRooms< 10.5 258    3 0 (0.988372093 0.011627907)  
##                               8204) NumPeople>=4.5 253    2 0 (0.992094862 0.007905138)  
##                                16408) ElectricBill< 145 142    0 0 (1.000000000 0.000000000) *
##                                16409) ElectricBill>=145 111    2 0 (0.981981982 0.018018018)  
##                                  32818) NumBedrooms>=3.5 55    0 0 (1.000000000 0.000000000) *
##                                  32819) NumBedrooms< 3.5 56    2 0 (0.964285714 0.035714286)  
##                                    65638) NumPeople< 6.5 52    1 0 (0.980769231 0.019230769)  
##                                     131276) FoodStamp=No 45    0 0 (1.000000000 0.000000000) *
##                                     131277) FoodStamp=Yes 7    1 0 (0.857142857 0.142857143)  
##                                       262554) HouseCosts< 860 6    0 0 (1.000000000 0.000000000) *
##                                       262555) HouseCosts>=860 1    0 1 (0.000000000 1.000000000) *
##                                    65639) NumPeople>=6.5 4    1 0 (0.750000000 0.250000000)  
##                                     131278) ElectricBill>=155 3    0 0 (1.000000000 0.000000000) *
##                                     131279) ElectricBill< 155 1    0 1 (0.000000000 1.000000000) *
##                               8205) NumPeople< 4.5 5    1 0 (0.800000000 0.200000000)  
##                                16410) HouseCosts< 825 4    0 0 (1.000000000 0.000000000) *
##                                16411) HouseCosts>=825 1    0 1 (0.000000000 1.000000000) *
##                             4103) NumRooms>=10.5 12    2 0 (0.833333333 0.166666667)  
##                               8206) NumVehicles>=2.5 8    0 0 (1.000000000 0.000000000) *
##                               8207) NumVehicles< 2.5 4    2 0 (0.500000000 0.500000000)  
##                                16414) NumBedrooms< 4.5 2    0 0 (1.000000000 0.000000000) *
##                                16415) NumBedrooms>=4.5 2    0 1 (0.000000000 1.000000000) *
##                        513) HouseCosts< 65 41    2 0 (0.951219512 0.048780488)  
##                         1026) ElectricBill>=45 37    1 0 (0.972972973 0.027027027)  
##                           2052) NumVehicles< 3.5 32    0 0 (1.000000000 0.000000000) *
##                           2053) NumVehicles>=3.5 5    1 0 (0.800000000 0.200000000)  
##                             4106) NumWorkers>=1.5 4    0 0 (1.000000000 0.000000000) *
##                             4107) NumWorkers< 1.5 1    0 1 (0.000000000 1.000000000) *
##                         1027) ElectricBill< 45 4    1 0 (0.750000000 0.250000000)  
##                           2054) NumBedrooms>=2.5 3    0 0 (1.000000000 0.000000000) *
##                           2055) NumBedrooms< 2.5 1    0 1 (0.000000000 1.000000000) *
##                      257) NumVehicles>=5.5 24    2 0 (0.916666667 0.083333333)  
##                        514) HouseCosts< 730 14    0 0 (1.000000000 0.000000000) *
##                        515) HouseCosts>=730 10    2 0 (0.800000000 0.200000000)  
##                         1030) HouseCosts>=785 8    0 0 (1.000000000 0.000000000) *
##                         1031) HouseCosts< 785 2    0 1 (0.000000000 1.000000000) *
##                    129) NumRooms>=11.5 97    5 0 (0.948453608 0.051546392)  
##                      258) ElectricBill< 320 85    3 0 (0.964705882 0.035294118)  
##                        516) ElectricBill>=145 43    0 0 (1.000000000 0.000000000) *
##                        517) ElectricBill< 145 42    3 0 (0.928571429 0.071428571)  
##                         1034) ElectricBill< 135 38    1 0 (0.973684211 0.026315789)  
##                           2068) HouseCosts< 855 32    0 0 (1.000000000 0.000000000) *
##                           2069) HouseCosts>=855 6    1 0 (0.833333333 0.166666667)  
##                             4138) Insurance>=525 5    0 0 (1.000000000 0.000000000) *
##                             4139) Insurance< 525 1    0 1 (0.000000000 1.000000000) *
##                         1035) ElectricBill>=135 4    2 0 (0.500000000 0.500000000)  
##                           2070) HouseCosts>=555 2    0 0 (1.000000000 0.000000000) *
##                           2071) HouseCosts< 555 2    0 1 (0.000000000 1.000000000) *
##                      259) ElectricBill>=320 12    2 0 (0.833333333 0.166666667)  
##                        518) ElectricBill>=335 11    1 0 (0.909090909 0.090909091)  
##                         1036) NumChildren< 3.5 10    0 0 (1.000000000 0.000000000) *
##                         1037) NumChildren>=3.5 1    0 1 (0.000000000 1.000000000) *
##                        519) ElectricBill< 335 1    0 1 (0.000000000 1.000000000) *
##                   65) HouseCosts>=995 3400   72 0 (0.978823529 0.021176471)  
##                    130) NumRooms< 7.5 2234   32 0 (0.985675918 0.014324082)  
##                      260) NumPeople< 11.5 2233   31 0 (0.986117331 0.013882669)  
##                        520) Insurance< 845 2016   23 0 (0.988591270 0.011408730)  
##                         1040) NumPeople>=2.5 1325    9 0 (0.993207547 0.006792453)  
##                           2080) NumVehicles< 4.5 1312    8 0 (0.993902439 0.006097561)  
##                             4160) ElectricBill< 335 1229    6 0 (0.995117982 0.004882018)  
##                               8320) NumChildren< 3.5 1190    5 0 (0.995798319 0.004201681)  
##                                16640) ElectricBill>=65 1050    3 0 (0.997142857 0.002857143)  
##                                  33280) HouseCosts< 1565 777    1 0 (0.998712999 0.001287001)  
##                                    66560) Insurance< 695 625    0 0 (1.000000000 0.000000000) *
##                                    66561) Insurance>=695 152    1 0 (0.993421053 0.006578947)  
##                                     133122) Insurance>=705 106    0 0 (1.000000000 0.000000000) *
##                                     133123) Insurance< 705 46    1 0 (0.978260870 0.021739130)  
##                                       266246) NumRooms>=5.5 35    0 0 (1.000000000 0.000000000) *
##                                       266247) NumRooms< 5.5 11    1 0 (0.909090909 0.090909091)  
##                                         532494) ElectricBill>=125 7    0 0 (1.000000000 0.000000000) *
##                                         532495) ElectricBill< 125 4    1 0 (0.750000000 0.250000000)  
##                                          1064990) ElectricBill< 110 3    0 0 (1.000000000 0.000000000) *
##                                          1064991) ElectricBill>=110 1    0 1 (0.000000000 1.000000000) *
##                                  33281) HouseCosts>=1565 273    2 0 (0.992673993 0.007326007)  
##                                    66562) NumRooms>=4.5 246    1 0 (0.995934959 0.004065041)  
##                                     133124) NumVehicles>=1.5 187    0 0 (1.000000000 0.000000000) *
##                                     133125) NumVehicles< 1.5 59    1 0 (0.983050847 0.016949153)  
##                                       266250) HouseCosts>=1650 36    0 0 (1.000000000 0.000000000) *
##                                       266251) HouseCosts< 1650 23    1 0 (0.956521739 0.043478261)  
##                                         532502) ElectricBill< 190 13    0 0 (1.000000000 0.000000000) *
##                                         532503) ElectricBill>=190 10    1 0 (0.900000000 0.100000000)  
##                                          1065006) NumPeople>=3.5 9    0 0 (1.000000000 0.000000000) *
##                                          1065007) NumPeople< 3.5 1    0 1 (0.000000000 1.000000000) *
##                                    66563) NumRooms< 4.5 27    1 0 (0.962962963 0.037037037)  
##                                     133126) ElectricBill< 160 18    0 0 (1.000000000 0.000000000) *
##                                     133127) ElectricBill>=160 9    1 0 (0.888888889 0.111111111)  
##                                       266254) ElectricBill>=185 8    0 0 (1.000000000 0.000000000) *
##                                       266255) ElectricBill< 185 1    0 1 (0.000000000 1.000000000) *
##                                16641) ElectricBill< 65 140    2 0 (0.985714286 0.014285714)  
##                                  33282) NumVehicles< 2.5 124    0 0 (1.000000000 0.000000000) *
##                                  33283) NumVehicles>=2.5 16    2 0 (0.875000000 0.125000000)  
##                                    66566) HouseCosts< 1550 15    1 0 (0.933333333 0.066666667)  
##                                     133132) NumBedrooms>=2.5 12    0 0 (1.000000000 0.000000000) *
##                                     133133) NumBedrooms< 2.5 3    1 0 (0.666666667 0.333333333)  
##                                       266266) Insurance< 175 2    0 0 (1.000000000 0.000000000) *
##                                       266267) Insurance>=175 1    0 1 (0.000000000 1.000000000) *
##                                    66567) HouseCosts>=1550 1    0 1 (0.000000000 1.000000000) *
##                               8321) NumChildren>=3.5 39    1 0 (0.974358974 0.025641026)  
##                                16642) NumVehicles< 2.5 36    0 0 (1.000000000 0.000000000) *
##                                16643) NumVehicles>=2.5 3    1 0 (0.666666667 0.333333333)  
##                                  33286) NumBedrooms>=3.5 2    0 0 (1.000000000 0.000000000) *
##                                  33287) NumBedrooms< 3.5 1    0 1 (0.000000000 1.000000000) *
##                             4161) ElectricBill>=335 83    2 0 (0.975903614 0.024096386)  
##                               8322) HouseCosts>=1050 76    1 0 (0.986842105 0.013157895)  
##                                16644) ElectricBill>=345 69    0 0 (1.000000000 0.000000000) *
##                                16645) ElectricBill< 345 7    1 0 (0.857142857 0.142857143)  
##                                  33290) Insurance< 740 6    0 0 (1.000000000 0.000000000) *
##                                  33291) Insurance>=740 1    0 1 (0.000000000 1.000000000) *
##                               8323) HouseCosts< 1050 7    1 0 (0.857142857 0.142857143)  
##                                16646) NumChildren>=0.5 6    0 0 (1.000000000 0.000000000) *
##                                16647) NumChildren< 0.5 1    0 1 (0.000000000 1.000000000) *
##                           2081) NumVehicles>=4.5 13    1 0 (0.923076923 0.076923077)  
##                             4162) Insurance< 795 12    0 0 (1.000000000 0.000000000) *
##                             4163) Insurance>=795 1    0 1 (0.000000000 1.000000000) *
##                         1041) NumPeople< 2.5 691   14 0 (0.979739508 0.020260492)  
##                           2082) ElectricBill>=1.5 674   12 0 (0.982195846 0.017804154)  
##                             4164) HouseCosts< 1665 594    7 0 (0.988215488 0.011784512)  
##                               8328) NumVehicles< 1.5 164    0 0 (1.000000000 0.000000000) *
##                               8329) NumVehicles>=1.5 430    7 0 (0.983720930 0.016279070)  
##                                16658) NumBedrooms>=1.5 417    6 0 (0.985611511 0.014388489)  
##                                  33316) Insurance< 245 90    0 0 (1.000000000 0.000000000) *
##                                  33317) Insurance>=245 327    6 0 (0.981651376 0.018348624)  
##                                    66634) Insurance>=280 322    4 0 (0.987577640 0.012422360)  
##                                     133268) Insurance< 705 258    2 0 (0.992248062 0.007751938)  
##                                       266536) Insurance>=505 131    0 0 (1.000000000 0.000000000) *
##                                       266537) Insurance< 505 127    2 0 (0.984251969 0.015748031)  
##                                         533074) Insurance< 475 73    0 0 (1.000000000 0.000000000) *
##                                         533075) Insurance>=475 54    2 0 (0.962962963 0.037037037)  
##                                          1066150) Insurance>=485 48    1 0 (0.979166667 0.020833333)  
##                                            2132300) HouseCosts>=1050 43    0 0 (1.000000000 0.000000000) *
##                                            2132301) HouseCosts< 1050 5    1 0 (0.800000000 0.200000000)  
##                                              4264602) ElectricBill>=90 3    0 0 (1.000000000 0.000000000) *
##                                              4264603) ElectricBill< 90 2    1 0 (0.500000000 0.500000000)  
##                                                8529206) ElectricBill< 60 1    0 0 (1.000000000 0.000000000) *
##                                                8529207) ElectricBill>=60 1    0 1 (0.000000000 1.000000000) *
##                                          1066151) Insurance< 485 6    1 0 (0.833333333 0.166666667)  
##                                            2132302) ElectricBill>=110 5    0 0 (1.000000000 0.000000000) *
##                                            2132303) ElectricBill< 110 1    0 1 (0.000000000 1.000000000) *
##                                     133269) Insurance>=705 64    2 0 (0.968750000 0.031250000)  
##                                       266538) Insurance>=715 61    1 0 (0.983606557 0.016393443)  
##                                         533076) ElectricBill>=105 40    0 0 (1.000000000 0.000000000) *
##                                         533077) ElectricBill< 105 21    1 0 (0.952380952 0.047619048)  
##                                          1066154) ElectricBill< 95 12    0 0 (1.000000000 0.000000000) *
##                                          1066155) ElectricBill>=95 9    1 0 (0.888888889 0.111111111)  
##                                            2132310) Insurance< 785 5    0 0 (1.000000000 0.000000000) *
##                                            2132311) Insurance>=785 4    1 0 (0.750000000 0.250000000)  
##                                              4264622) Insurance>=810 1    0 0 (1.000000000 0.000000000) *
##                                              4264623) Insurance< 810 3    1 0 (0.666666667 0.333333333)  
##                                                8529246) HouseCosts< 1250 1    0 0 (1.000000000 0.000000000) *
##                                                8529247) HouseCosts>=1250 2    1 0 (0.500000000 0.500000000)  
##                                                 17058494) HouseCosts>=1400 1    0 0 (1.000000000 0.000000000) *
##                                                 17058495) HouseCosts< 1400 1    0 1 (0.000000000 1.000000000) *
##                                       266539) Insurance< 715 3    1 0 (0.666666667 0.333333333)  
##                                         533078) NumRooms< 6.5 2    0 0 (1.000000000 0.000000000) *
##                                         533079) NumRooms>=6.5 1    0 1 (0.000000000 1.000000000) *
##                                    66635) Insurance< 280 5    2 0 (0.600000000 0.400000000)  
##                                     133270) ElectricBill< 130 2    0 0 (1.000000000 0.000000000) *
##                                     133271) ElectricBill>=130 3    1 1 (0.333333333 0.666666667)  
##                                       266542) Insurance< 255 2    1 0 (0.500000000 0.500000000)  
##                                         533084) ElectricBill< 195 1    0 0 (1.000000000 0.000000000) *
##                                         533085) ElectricBill>=195 1    0 1 (0.000000000 1.000000000) *
##                                       266543) Insurance>=255 1    0 1 (0.000000000 1.000000000) *
##                                16659) NumBedrooms< 1.5 13    1 0 (0.923076923 0.076923077)  
##                                  33318) OwnRent=Rented 8    0 0 (1.000000000 0.000000000) *
##                                  33319) OwnRent=Mortgage 5    1 0 (0.800000000 0.200000000)  
##                                    66638) Insurance>=225 3    0 0 (1.000000000 0.000000000) *
##                                    66639) Insurance< 225 2    1 0 (0.500000000 0.500000000)  
##                                     133278) ElectricBill>=185 1    0 0 (1.000000000 0.000000000) *
##                                     133279) ElectricBill< 185 1    0 1 (0.000000000 1.000000000) *
##                             4165) HouseCosts>=1665 80    5 0 (0.937500000 0.062500000)  
##                               8330) HouseCosts>=1685 79    4 0 (0.949367089 0.050632911)  
##                                16660) NumVehicles< 1.5 23    0 0 (1.000000000 0.000000000) *
##                                16661) NumVehicles>=1.5 56    4 0 (0.928571429 0.071428571)  
##                                  33322) NumChildren< 0.5 55    3 0 (0.945454545 0.054545455)  
##                                    66644) ElectricBill>=95 42    1 0 (0.976190476 0.023809524)  
##                                     133288) NumRooms>=4.5 36    0 0 (1.000000000 0.000000000) *
##                                     133289) NumRooms< 4.5 6    1 0 (0.833333333 0.166666667)  
##                                       266578) HouseCosts>=1750 5    0 0 (1.000000000 0.000000000) *
##                                       266579) HouseCosts< 1750 1    0 1 (0.000000000 1.000000000) *
##                                    66645) ElectricBill< 95 13    2 0 (0.846153846 0.153846154)  
##                                     133290) ElectricBill< 75 8    0 0 (1.000000000 0.000000000) *
##                                     133291) ElectricBill>=75 5    2 0 (0.600000000 0.400000000)  
##                                       266582) HouseCosts>=1850 2    0 0 (1.000000000 0.000000000) *
##                                       266583) HouseCosts< 1850 3    1 1 (0.333333333 0.666666667)  
##                                         533166) Insurance>=750 1    0 0 (1.000000000 0.000000000) *
##                                         533167) Insurance< 750 2    0 1 (0.000000000 1.000000000) *
##                                  33323) NumChildren>=0.5 1    0 1 (0.000000000 1.000000000) *
##                               8331) HouseCosts< 1685 1    0 1 (0.000000000 1.000000000) *
##                           2083) ElectricBill< 1.5 17    2 0 (0.882352941 0.117647059)  
##                             4166) NumWorkers>=0.5 16    1 0 (0.937500000 0.062500000)  
##                               8332) NumBedrooms< 2.5 10    0 0 (1.000000000 0.000000000) *
##                               8333) NumBedrooms>=2.5 6    1 0 (0.833333333 0.166666667)  
##                                16666) HouseCosts< 1300 3    0 0 (1.000000000 0.000000000) *
##                                16667) HouseCosts>=1300 3    1 0 (0.666666667 0.333333333)  
##                                  33334) HouseCosts>=1500 2    0 0 (1.000000000 0.000000000) *
##                                  33335) HouseCosts< 1500 1    0 1 (0.000000000 1.000000000) *
##                             4167) NumWorkers< 0.5 1    0 1 (0.000000000 1.000000000) *
##                        521) Insurance>=845 217    8 0 (0.963133641 0.036866359)  
##                         1042) Insurance>=875 174    2 0 (0.988505747 0.011494253)  
##                           2084) NumVehicles< 3.5 162    0 0 (1.000000000 0.000000000) *
##                           2085) NumVehicles>=3.5 12    2 0 (0.833333333 0.166666667)  
##                             4170) ElectricBill< 225 11    1 0 (0.909090909 0.090909091)  
##                               8340) NumBedrooms< 3.5 9    0 0 (1.000000000 0.000000000) *
##                               8341) NumBedrooms>=3.5 2    1 0 (0.500000000 0.500000000)  
##                                16682) Insurance< 920 1    0 0 (1.000000000 0.000000000) *
##                                16683) Insurance>=920 1    0 1 (0.000000000 1.000000000) *
##                             4171) ElectricBill>=225 1    0 1 (0.000000000 1.000000000) *
##                         1043) Insurance< 875 43    6 0 (0.860465116 0.139534884)  
##                           2086) HouseCosts< 1750 39    4 0 (0.897435897 0.102564103)  
##                             4172) Insurance< 865 33    2 0 (0.939393939 0.060606061)  
##                               8344) NumBedrooms< 3.5 31    1 0 (0.967741935 0.032258065)  
##                                16688) ElectricBill< 205 22    0 0 (1.000000000 0.000000000) *
##                                16689) ElectricBill>=205 9    1 0 (0.888888889 0.111111111)  
##                                  33378) ElectricBill>=215 6    0 0 (1.000000000 0.000000000) *
##                                  33379) ElectricBill< 215 3    1 0 (0.666666667 0.333333333)  
##                                    66758) NumBedrooms< 2.5 2    0 0 (1.000000000 0.000000000) *
##                                    66759) NumBedrooms>=2.5 1    0 1 (0.000000000 1.000000000) *
##                               8345) NumBedrooms>=3.5 2    1 0 (0.500000000 0.500000000)  
##                                16690) ElectricBill>=175 1    0 0 (1.000000000 0.000000000) *
##                                16691) ElectricBill< 175 1    0 1 (0.000000000 1.000000000) *
##                             4173) Insurance>=865 6    2 0 (0.666666667 0.333333333)  
##                               8346) NumChildren>=0.5 4    0 0 (1.000000000 0.000000000) *
##                               8347) NumChildren< 0.5 2    0 1 (0.000000000 1.000000000) *
##                           2087) HouseCosts>=1750 4    2 0 (0.500000000 0.500000000)  
##                             4174) Insurance< 855 3    1 0 (0.666666667 0.333333333)  
##                               8348) ElectricBill>=125 1    0 0 (1.000000000 0.000000000) *
##                               8349) ElectricBill< 125 2    1 0 (0.500000000 0.500000000)  
##                                16698) NumChildren>=0.5 1    0 0 (1.000000000 0.000000000) *
##                                16699) NumChildren< 0.5 1    0 1 (0.000000000 1.000000000) *
##                             4175) Insurance>=855 1    0 1 (0.000000000 1.000000000) *
##                      261) NumPeople>=11.5 1    0 1 (0.000000000 1.000000000) *
##                    131) NumRooms>=7.5 1166   40 0 (0.965694683 0.034305317)  
##                      262) ElectricBill< 395 1124   34 0 (0.969750890 0.030249110)  
##                        524) ElectricBill< 185 761   16 0 (0.978975033 0.021024967)  
##                         1048) NumBedrooms< 4.5 658   10 0 (0.984802432 0.015197568)  
##                           2096) HouseCosts< 1850 628    8 0 (0.987261146 0.012738854)  
##                             4192) Insurance< 495 183    0 0 (1.000000000 0.000000000) *
##                             4193) Insurance>=495 445    8 0 (0.982022472 0.017977528)  
##                               8386) NumVehicles< 3.5 401    6 0 (0.985037406 0.014962594)  
##                                16772) NumRooms< 10.5 359    4 0 (0.988857939 0.011142061)  
##                                  33544) Insurance< 920 342    3 0 (0.991228070 0.008771930)  
##                                    67088) ElectricBill>=55 316    2 0 (0.993670886 0.006329114)  
##                                     134176) NumPeople>=2.5 211    0 0 (1.000000000 0.000000000) *
##                                     134177) NumPeople< 2.5 105    2 0 (0.980952381 0.019047619)  
##                                       268354) Insurance>=515 90    1 0 (0.988888889 0.011111111)  
##                                         536708) HouseCosts< 1650 78    0 0 (1.000000000 0.000000000) *
##                                         536709) HouseCosts>=1650 12    1 0 (0.916666667 0.083333333)  
##                                          1073418) NumVehicles>=1.5 9    0 0 (1.000000000 0.000000000) *
##                                          1073419) NumVehicles< 1.5 3    1 0 (0.666666667 0.333333333)  
##                                            2146838) Insurance< 750 2    0 0 (1.000000000 0.000000000) *
##                                            2146839) Insurance>=750 1    0 1 (0.000000000 1.000000000) *
##                                       268355) Insurance< 515 15    1 0 (0.933333333 0.066666667)  
##                                         536710) ElectricBill< 150 11    0 0 (1.000000000 0.000000000) *
##                                         536711) ElectricBill>=150 4    1 0 (0.750000000 0.250000000)  
##                                          1073422) HouseCosts>=1300 2    0 0 (1.000000000 0.000000000) *
##                                          1073423) HouseCosts< 1300 2    1 0 (0.500000000 0.500000000)  
##                                            2146846) ElectricBill>=170 1    0 0 (1.000000000 0.000000000) *
##                                            2146847) ElectricBill< 170 1    0 1 (0.000000000 1.000000000) *
##                                    67089) ElectricBill< 55 26    1 0 (0.961538462 0.038461538)  
##                                     134178) Insurance< 825 24    0 0 (1.000000000 0.000000000) *
##                                     134179) Insurance>=825 2    1 0 (0.500000000 0.500000000)  
##                                       268358) Insurance>=875 1    0 0 (1.000000000 0.000000000) *
##                                       268359) Insurance< 875 1    0 1 (0.000000000 1.000000000) *
##                                  33545) Insurance>=920 17    1 0 (0.941176471 0.058823529)  
##                                    67090) Insurance>=940 15    0 0 (1.000000000 0.000000000) *
##                                    67091) Insurance< 940 2    1 0 (0.500000000 0.500000000)  
##                                     134182) HouseCosts< 1300 1    0 0 (1.000000000 0.000000000) *
##                                     134183) HouseCosts>=1300 1    0 1 (0.000000000 1.000000000) *
##                                16773) NumRooms>=10.5 42    2 0 (0.952380952 0.047619048)  
##                                  33546) HouseCosts< 1350 24    0 0 (1.000000000 0.000000000) *
##                                  33547) HouseCosts>=1350 18    2 0 (0.888888889 0.111111111)  
##                                    67094) HouseCosts>=1650 9    0 0 (1.000000000 0.000000000) *
##                                    67095) HouseCosts< 1650 9    2 0 (0.777777778 0.222222222)  
##                                     134190) Insurance< 515 5    0 0 (1.000000000 0.000000000) *
##                                     134191) Insurance>=515 4    2 0 (0.500000000 0.500000000)  
##                                       268382) ElectricBill>=115 2    0 0 (1.000000000 0.000000000) *
##                                       268383) ElectricBill< 115 2    0 1 (0.000000000 1.000000000) *
##                               8387) NumVehicles>=3.5 44    2 0 (0.954545455 0.045454545)  
##                                16774) NumWorkers>=1.5 42    1 0 (0.976190476 0.023809524)  
##                                  33548) HouseCosts>=1150 31    0 0 (1.000000000 0.000000000) *
##                                  33549) HouseCosts< 1150 11    1 0 (0.909090909 0.090909091)  
##                                    67098) NumRooms< 9.5 7    0 0 (1.000000000 0.000000000) *
##                                    67099) NumRooms>=9.5 4    1 0 (0.750000000 0.250000000)  
##                                     134198) ElectricBill>=140 2    0 0 (1.000000000 0.000000000) *
##                                     134199) ElectricBill< 140 2    1 0 (0.500000000 0.500000000)  
##                                       268398) ElectricBill< 95 1    0 0 (1.000000000 0.000000000) *
##                                       268399) ElectricBill>=95 1    0 1 (0.000000000 1.000000000) *
##                                16775) NumWorkers< 1.5 2    1 0 (0.500000000 0.500000000)  
##                                  33550) Insurance>=675 1    0 0 (1.000000000 0.000000000) *
##                                  33551) Insurance< 675 1    0 1 (0.000000000 1.000000000) *
##                           2097) HouseCosts>=1850 30    2 0 (0.933333333 0.066666667)  
##                             4194) ElectricBill>=110 18    0 0 (1.000000000 0.000000000) *
##                             4195) ElectricBill< 110 12    2 0 (0.833333333 0.166666667)  
##                               8390) Insurance>=175 10    1 0 (0.900000000 0.100000000)  
##                                16780) NumWorkers>=1.5 7    0 0 (1.000000000 0.000000000) *
##                                16781) NumWorkers< 1.5 3    1 0 (0.666666667 0.333333333)  
##                                  33562) Insurance< 650 2    0 0 (1.000000000 0.000000000) *
##                                  33563) Insurance>=650 1    0 1 (0.000000000 1.000000000) *
##                               8391) Insurance< 175 2    1 0 (0.500000000 0.500000000)  
##                                16782) NumBedrooms>=3.5 1    0 0 (1.000000000 0.000000000) *
##                                16783) NumBedrooms< 3.5 1    0 1 (0.000000000 1.000000000) *
##                         1049) NumBedrooms>=4.5 103    6 0 (0.941747573 0.058252427)  
##                           2098) NumRooms< 9.5 48    0 0 (1.000000000 0.000000000) *
##                           2099) NumRooms>=9.5 55    6 0 (0.890909091 0.109090909)  
##                             4198) NumVehicles< 2.5 32    1 0 (0.968750000 0.031250000)  
##                               8396) OwnRent=Mortgage 30    0 0 (1.000000000 0.000000000) *
##                               8397) OwnRent=Rented 2    1 0 (0.500000000 0.500000000)  
##                                16794) ElectricBill< 76 1    0 0 (1.000000000 0.000000000) *
##                                16795) ElectricBill>=76 1    0 1 (0.000000000 1.000000000) *
##                             4199) NumVehicles>=2.5 23    5 0 (0.782608696 0.217391304)  
##                               8398) NumChildren< 3 22    4 0 (0.818181818 0.181818182)  
##                                16796) NumPeople>=3.5 9    0 0 (1.000000000 0.000000000) *
##                                16797) NumPeople< 3.5 13    4 0 (0.692307692 0.307692308)  
##                                  33594) HouseCosts< 1250 8    1 0 (0.875000000 0.125000000)  
##                                    67188) ElectricBill>=70 7    0 0 (1.000000000 0.000000000) *
##                                    67189) ElectricBill< 70 1    0 1 (0.000000000 1.000000000) *
##                                  33595) HouseCosts>=1250 5    2 1 (0.400000000 0.600000000)  
##                                    67190) Insurance>=825 3    1 0 (0.666666667 0.333333333)  
##                                     134380) NumPeople>=2.5 2    0 0 (1.000000000 0.000000000) *
##                                     134381) NumPeople< 2.5 1    0 1 (0.000000000 1.000000000) *
##                                    67191) Insurance< 825 2    0 1 (0.000000000 1.000000000) *
##                               8399) NumChildren>=3 1    0 1 (0.000000000 1.000000000) *
##                        525) ElectricBill>=185 363   18 0 (0.950413223 0.049586777)  
##                         1050) NumChildren< 4.5 362   17 0 (0.953038674 0.046961326)  
##                           2100) NumVehicles< 5.5 359   16 0 (0.955431755 0.044568245)  
##                             4200) Insurance< 635 211    6 0 (0.971563981 0.028436019)  
##                               8400) Insurance>=25 147    2 0 (0.986394558 0.013605442)  
##                                16800) HouseCosts< 1470 90    0 0 (1.000000000 0.000000000) *
##                                16801) HouseCosts>=1470 57    2 0 (0.964912281 0.035087719)  
##                                  33602) HouseCosts>=1550 41    0 0 (1.000000000 0.000000000) *
##                                  33603) HouseCosts< 1550 16    2 0 (0.875000000 0.125000000)  
##                                    67206) Insurance>=550 5    0 0 (1.000000000 0.000000000) *
##                                    67207) Insurance< 550 11    2 0 (0.818181818 0.181818182)  
##                                     134414) NumRooms>=9.5 4    0 0 (1.000000000 0.000000000) *
##                                     134415) NumRooms< 9.5 7    2 0 (0.714285714 0.285714286)  
##                                       268830) NumPeople>=5.5 2    0 0 (1.000000000 0.000000000) *
##                                       268831) NumPeople< 5.5 5    2 0 (0.600000000 0.400000000)  
##                                         537662) Insurance>=450 4    1 0 (0.750000000 0.250000000)  
##                                          1075324) NumChildren< 2 3    0 0 (1.000000000 0.000000000) *
##                                          1075325) NumChildren>=2 1    0 1 (0.000000000 1.000000000) *
##                                         537663) Insurance< 450 1    0 1 (0.000000000 1.000000000) *
##                               8401) Insurance< 25 64    4 0 (0.937500000 0.062500000)  
##                                16802) NumPeople>=4.5 24    0 0 (1.000000000 0.000000000) *
##                                16803) NumPeople< 4.5 40    4 0 (0.900000000 0.100000000)  
##                                  33606) NumPeople< 3.5 19    0 0 (1.000000000 0.000000000) *
##                                  33607) NumPeople>=3.5 21    4 0 (0.809523810 0.190476190)  
##                                    67214) HouseCosts< 1650 18    2 0 (0.888888889 0.111111111)  
##                                     134428) ElectricBill>=205 11    0 0 (1.000000000 0.000000000) *
##                                     134429) ElectricBill< 205 7    2 0 (0.714285714 0.285714286)  
##                                       268858) NumBedrooms< 3.5 4    0 0 (1.000000000 0.000000000) *
##                                       268859) NumBedrooms>=3.5 3    1 1 (0.333333333 0.666666667)  
##                                         537718) HouseCosts>=1300 1    0 0 (1.000000000 0.000000000) *
##                                         537719) HouseCosts< 1300 2    0 1 (0.000000000 1.000000000) *
##                                    67215) HouseCosts>=1650 3    1 1 (0.333333333 0.666666667)  
##                                     134430) ElectricBill>=225 2    1 0 (0.500000000 0.500000000)  
##                                       268860) ElectricBill< 240 1    0 0 (1.000000000 0.000000000) *
##                                       268861) ElectricBill>=240 1    0 1 (0.000000000 1.000000000) *
##                                     134431) ElectricBill< 225 1    0 1 (0.000000000 1.000000000) *
##                             4201) Insurance>=635 148   10 0 (0.932432432 0.067567568)  
##                               8402) Insurance>=645 147    9 0 (0.938775510 0.061224490)  
##                                16804) Insurance>=695 136    7 0 (0.948529412 0.051470588)  
##                                  33608) HouseCosts>=1350 68    1 0 (0.985294118 0.014705882)  
##                                    67216) NumChildren< 2.5 56    0 0 (1.000000000 0.000000000) *
##                                    67217) NumChildren>=2.5 12    1 0 (0.916666667 0.083333333)  
##                                     134434) Insurance>=795 10    0 0 (1.000000000 0.000000000) *
##                                     134435) Insurance< 795 2    1 0 (0.500000000 0.500000000)  
##                                       268870) Insurance< 765 1    0 0 (1.000000000 0.000000000) *
##                                       268871) Insurance>=765 1    0 1 (0.000000000 1.000000000) *
##                                  33609) HouseCosts< 1350 68    6 0 (0.911764706 0.088235294)  
##                                    67218) NumVehicles< 4.5 66    5 0 (0.924242424 0.075757576)  
##                                     134436) NumPeople< 2.5 17    0 0 (1.000000000 0.000000000) *
##                                     134437) NumPeople>=2.5 49    5 0 (0.897959184 0.102040816)  
##                                       268874) NumPeople>=4.5 15    0 0 (1.000000000 0.000000000) *
##                                       268875) NumPeople< 4.5 34    5 0 (0.852941176 0.147058824)  
##                                         537750) Insurance< 895 28    3 0 (0.892857143 0.107142857)  
##                                          1075500) ElectricBill>=195 26    2 0 (0.923076923 0.076923077)  
##                                            2151000) NumChildren>=0.5 15    0 0 (1.000000000 0.000000000) *
##                                            2151001) NumChildren< 0.5 11    2 0 (0.818181818 0.181818182)  
##                                              4302002) NumVehicles>=3.5 3    0 0 (1.000000000 0.000000000) *
##                                              4302003) NumVehicles< 3.5 8    2 0 (0.750000000 0.250000000)  
##                                                8604006) ElectricBill>=250 6    1 0 (0.833333333 0.166666667)  
##                                                 17208012) NumRooms< 8.5 4    0 0 (1.000000000 0.000000000) *
##                                                 17208013) NumRooms>=8.5 2    1 0 (0.500000000 0.500000000)  
##                                                   34416026) Insurance>=750 1    0 0 (1.000000000 0.000000000) *
##                                                   34416027) Insurance< 750 1    0 1 (0.000000000 1.000000000) *
##                                                8604007) ElectricBill< 250 2    1 0 (0.500000000 0.500000000)  
##                                                 17208014) Insurance>=845 1    0 0 (1.000000000 0.000000000) *
##                                                 17208015) Insurance< 845 1    0 1 (0.000000000 1.000000000) *
##                                          1075501) ElectricBill< 195 2    1 0 (0.500000000 0.500000000)  
##                                            2151002) HouseCosts< 1200 1    0 0 (1.000000000 0.000000000) *
##                                            2151003) HouseCosts>=1200 1    0 1 (0.000000000 1.000000000) *
##                                         537751) Insurance>=895 6    2 0 (0.666666667 0.333333333)  
##                                          1075502) ElectricBill< 215 3    0 0 (1.000000000 0.000000000) *
##                                          1075503) ElectricBill>=215 3    1 1 (0.333333333 0.666666667)  
##                                            2151006) Insurance>=925 1    0 0 (1.000000000 0.000000000) *
##                                            2151007) Insurance< 925 2    0 1 (0.000000000 1.000000000) *
##                                    67219) NumVehicles>=4.5 2    1 0 (0.500000000 0.500000000)  
##                                     134438) Insurance< 850 1    0 0 (1.000000000 0.000000000) *
##                                     134439) Insurance>=850 1    0 1 (0.000000000 1.000000000) *
##                                16805) Insurance< 695 11    2 0 (0.818181818 0.181818182)  
##                                  33610) Insurance< 685 10    1 0 (0.900000000 0.100000000)  
##                                    67220) NumBedrooms>=3.5 8    0 0 (1.000000000 0.000000000) *
##                                    67221) NumBedrooms< 3.5 2    1 0 (0.500000000 0.500000000)  
##                                     134442) Insurance< 670 1    0 0 (1.000000000 0.000000000) *
##                                     134443) Insurance>=670 1    0 1 (0.000000000 1.000000000) *
##                                  33611) Insurance>=685 1    0 1 (0.000000000 1.000000000) *
##                               8403) Insurance< 645 1    0 1 (0.000000000 1.000000000) *
##                           2101) NumVehicles>=5.5 3    1 0 (0.666666667 0.333333333)  
##                             4202) Insurance< 790 2    0 0 (1.000000000 0.000000000) *
##                             4203) Insurance>=790 1    0 1 (0.000000000 1.000000000) *
##                         1051) NumChildren>=4.5 1    0 1 (0.000000000 1.000000000) *
##                      263) ElectricBill>=395 42    6 0 (0.857142857 0.142857143)  
##                        526) NumRooms< 17 40    4 0 (0.900000000 0.100000000)  
##                         1052) HouseCosts>=1450 17    0 0 (1.000000000 0.000000000) *
##                         1053) HouseCosts< 1450 23    4 0 (0.826086957 0.173913043)  
##                           2106) NumRooms>=9.5 11    0 0 (1.000000000 0.000000000) *
##                           2107) NumRooms< 9.5 12    4 0 (0.666666667 0.333333333)  
##                             4214) HouseCosts< 1200 7    1 0 (0.857142857 0.142857143)  
##                               8428) NumPeople>=3.5 5    0 0 (1.000000000 0.000000000) *
##                               8429) NumPeople< 3.5 2    1 0 (0.500000000 0.500000000)  
##                                16858) Insurance>=765 1    0 0 (1.000000000 0.000000000) *
##                                16859) Insurance< 765 1    0 1 (0.000000000 1.000000000) *
##                             4215) HouseCosts>=1200 5    2 1 (0.400000000 0.600000000)  
##                               8430) NumPeople< 3.5 2    0 0 (1.000000000 0.000000000) *
##                               8431) NumPeople>=3.5 3    0 1 (0.000000000 1.000000000) *
##                        527) NumRooms>=17 2    0 1 (0.000000000 1.000000000) *
##                 33) OwnRent=Outright 100   11 0 (0.890000000 0.110000000)  
##                   66) NumBedrooms< 2.5 63    3 0 (0.952380952 0.047619048)  
##                    132) Insurance< 765 59    1 0 (0.983050847 0.016949153)  
##                      264) Insurance>=75 51    0 0 (1.000000000 0.000000000) *
##                      265) Insurance< 75 8    1 0 (0.875000000 0.125000000)  
##                        530) ElectricBill>=70 7    0 0 (1.000000000 0.000000000) *
##                        531) ElectricBill< 70 1    0 1 (0.000000000 1.000000000) *
##                    133) Insurance>=765 4    2 0 (0.500000000 0.500000000)  
##                      266) ElectricBill< 255 2    0 0 (1.000000000 0.000000000) *
##                      267) ElectricBill>=255 2    0 1 (0.000000000 1.000000000) *
##                   67) NumBedrooms>=2.5 37    8 0 (0.783783784 0.216216216)  
##                    134) NumVehicles< 1.5 14    0 0 (1.000000000 0.000000000) *
##                    135) NumVehicles>=1.5 23    8 0 (0.652173913 0.347826087)  
##                      270) ElectricBill< 65 6    0 0 (1.000000000 0.000000000) *
##                      271) ElectricBill>=65 17    8 0 (0.529411765 0.470588235)  
##                        542) Insurance>=315 14    5 0 (0.642857143 0.357142857)  
##                         1084) NumWorkers< 0.5 5    0 0 (1.000000000 0.000000000) *
##                         1085) NumWorkers>=0.5 9    4 1 (0.444444444 0.555555556)  
##                           2170) NumVehicles>=2.5 3    0 0 (1.000000000 0.000000000) *
##                           2171) NumVehicles< 2.5 6    1 1 (0.166666667 0.833333333)  
##                             4342) FoodStamp=Yes 1    0 0 (1.000000000 0.000000000) *
##                             4343) FoodStamp=No 5    0 1 (0.000000000 1.000000000) *
##                        543) Insurance< 315 3    0 1 (0.000000000 1.000000000) *
##               17) Insurance>=995 2669  119 0 (0.955414013 0.044585987)  
##                 34) NumRooms< 8.5 2064   64 0 (0.968992248 0.031007752)  
##                   68) Insurance< 1850 2022   59 0 (0.970820969 0.029179031)  
##                    136) NumWorkers< 2.5 1651   38 0 (0.976983646 0.023016354)  
##                      272) HouseCosts>=40 1647   37 0 (0.977534912 0.022465088)  
##                        544) HouseCosts< 1795 1426   26 0 (0.981767181 0.018232819)  
##                         1088) NumVehicles< 2.5 1138   16 0 (0.985940246 0.014059754)  
##                           2176) NumRooms< 7.5 899    8 0 (0.991101224 0.008898776)  
##                             4352) NumBedrooms< 4.5 893    7 0 (0.992161254 0.007838746)  
##                               8704) NumChildren< 3.5 882    6 0 (0.993197279 0.006802721)  
##                                17408) ElectricBill< 235 727    2 0 (0.997248968 0.002751032)  
##                                  34816) NumBedrooms>=2.5 573    0 0 (1.000000000 0.000000000) *
##                                  34817) NumBedrooms< 2.5 154    2 0 (0.987012987 0.012987013)  
##                                    69634) NumRooms< 5.5 114    0 0 (1.000000000 0.000000000) *
##                                    69635) NumRooms>=5.5 40    2 0 (0.950000000 0.050000000)  
##                                     139270) HouseCosts< 1300 26    0 0 (1.000000000 0.000000000) *
##                                     139271) HouseCosts>=1300 14    2 0 (0.857142857 0.142857143)  
##                                       278542) HouseCosts>=1550 9    0 0 (1.000000000 0.000000000) *
##                                       278543) HouseCosts< 1550 5    2 0 (0.600000000 0.400000000)  
##                                         557086) Insurance< 1150 3    0 0 (1.000000000 0.000000000) *
##                                         557087) Insurance>=1150 2    0 1 (0.000000000 1.000000000) *
##                                17409) ElectricBill>=235 155    4 0 (0.974193548 0.025806452)  
##                                  34818) HouseCosts>=590 134    1 0 (0.992537313 0.007462687)  
##                                    69636) Insurance< 1550 113    0 0 (1.000000000 0.000000000) *
##                                    69637) Insurance>=1550 21    1 0 (0.952380952 0.047619048)  
##                                     139274) HouseCosts< 1350 16    0 0 (1.000000000 0.000000000) *
##                                     139275) HouseCosts>=1350 5    1 0 (0.800000000 0.200000000)  
##                                       278550) Insurance>=1650 4    0 0 (1.000000000 0.000000000) *
##                                       278551) Insurance< 1650 1    0 1 (0.000000000 1.000000000) *
##                                  34819) HouseCosts< 590 21    3 0 (0.857142857 0.142857143)  
##                                    69638) ElectricBill>=260 19    1 0 (0.947368421 0.052631579)  
##                                     139276) NumBedrooms< 3.5 16    0 0 (1.000000000 0.000000000) *
##                                     139277) NumBedrooms>=3.5 3    1 0 (0.666666667 0.333333333)  
##                                       278554) Insurance< 1150 2    0 0 (1.000000000 0.000000000) *
##                                       278555) Insurance>=1150 1    0 1 (0.000000000 1.000000000) *
##                                    69639) ElectricBill< 260 2    0 1 (0.000000000 1.000000000) *
##                               8705) NumChildren>=3.5 11    1 0 (0.909090909 0.090909091)  
##                                17410) ElectricBill>=165 8    0 0 (1.000000000 0.000000000) *
##                                17411) ElectricBill< 165 3    1 0 (0.666666667 0.333333333)  
##                                  34822) Insurance< 1150 2    0 0 (1.000000000 0.000000000) *
##                                  34823) Insurance>=1150 1    0 1 (0.000000000 1.000000000) *
##                             4353) NumBedrooms>=4.5 6    1 0 (0.833333333 0.166666667)  
##                               8706) ElectricBill>=140 5    0 0 (1.000000000 0.000000000) *
##                               8707) ElectricBill< 140 1    0 1 (0.000000000 1.000000000) *
##                           2177) NumRooms>=7.5 239    8 0 (0.966527197 0.033472803)  
##                             4354) NumBedrooms>=2.5 235    7 0 (0.970212766 0.029787234)  
##                               8708) Insurance< 1750 227    6 0 (0.973568282 0.026431718)  
##                                17416) HouseCosts>=175 215    5 0 (0.976744186 0.023255814)  
##                                  34832) HouseCosts< 1150 107    1 0 (0.990654206 0.009345794)  
##                                    69664) Insurance>=1050 82    0 0 (1.000000000 0.000000000) *
##                                    69665) Insurance< 1050 25    1 0 (0.960000000 0.040000000)  
##                                     139330) ElectricBill< 175 20    0 0 (1.000000000 0.000000000) *
##                                     139331) ElectricBill>=175 5    1 0 (0.800000000 0.200000000)  
##                                       278662) ElectricBill>=190 4    0 0 (1.000000000 0.000000000) *
##                                       278663) ElectricBill< 190 1    0 1 (0.000000000 1.000000000) *
##                                  34833) HouseCosts>=1150 108    4 0 (0.962962963 0.037037037)  
##                                    69666) Insurance< 1250 72    1 0 (0.986111111 0.013888889)  
##                                     139332) ElectricBill>=105 55    0 0 (1.000000000 0.000000000) *
##                                     139333) ElectricBill< 105 17    1 0 (0.941176471 0.058823529)  
##                                       278666) ElectricBill< 95 10    0 0 (1.000000000 0.000000000) *
##                                       278667) ElectricBill>=95 7    1 0 (0.857142857 0.142857143)  
##                                         557334) HouseCosts>=1350 5    0 0 (1.000000000 0.000000000) *
##                                         557335) HouseCosts< 1350 2    1 0 (0.500000000 0.500000000)  
##                                          1114670) Insurance>=1100 1    0 0 (1.000000000 0.000000000) *
##                                          1114671) Insurance< 1100 1    0 1 (0.000000000 1.000000000) *
##                                    69667) Insurance>=1250 36    3 0 (0.916666667 0.083333333)  
##                                     139334) Insurance>=1450 26    1 0 (0.961538462 0.038461538)  
##                                       278668) HouseCosts>=1250 20    0 0 (1.000000000 0.000000000) *
##                                       278669) HouseCosts< 1250 6    1 0 (0.833333333 0.166666667)  
##                                         557338) NumBedrooms< 4.5 4    0 0 (1.000000000 0.000000000) *
##                                         557339) NumBedrooms>=4.5 2    1 0 (0.500000000 0.500000000)  
##                                          1114678) ElectricBill< 115 1    0 0 (1.000000000 0.000000000) *
##                                          1114679) ElectricBill>=115 1    0 1 (0.000000000 1.000000000) *
##                                     139335) Insurance< 1450 10    2 0 (0.800000000 0.200000000)  
##                                       278670) ElectricBill>=120 8    1 0 (0.875000000 0.125000000)  
##                                         557340) NumVehicles>=1.5 6    0 0 (1.000000000 0.000000000) *
##                                         557341) NumVehicles< 1.5 2    1 0 (0.500000000 0.500000000)  
##                                          1114682) Insurance< 1350 1    0 0 (1.000000000 0.000000000) *
##                                          1114683) Insurance>=1350 1    0 1 (0.000000000 1.000000000) *
##                                       278671) ElectricBill< 120 2    1 0 (0.500000000 0.500000000)  
##                                         557342) Insurance>=1350 1    0 0 (1.000000000 0.000000000) *
##                                         557343) Insurance< 1350 1    0 1 (0.000000000 1.000000000) *
##                                17417) HouseCosts< 175 12    1 0 (0.916666667 0.083333333)  
##                                  34834) HouseCosts< 145 9    0 0 (1.000000000 0.000000000) *
##                                  34835) HouseCosts>=145 3    1 0 (0.666666667 0.333333333)  
##                                    69670) Insurance< 1050 2    0 0 (1.000000000 0.000000000) *
##                                    69671) Insurance>=1050 1    0 1 (0.000000000 1.000000000) *
##                               8709) Insurance>=1750 8    1 0 (0.875000000 0.125000000)  
##                                17418) NumVehicles>=1 7    0 0 (1.000000000 0.000000000) *
##                                17419) NumVehicles< 1 1    0 1 (0.000000000 1.000000000) *
##                             4355) NumBedrooms< 2.5 4    1 0 (0.750000000 0.250000000)  
##                               8710) NumWorkers< 1.5 3    0 0 (1.000000000 0.000000000) *
##                               8711) NumWorkers>=1.5 1    0 1 (0.000000000 1.000000000) *
##                         1089) NumVehicles>=2.5 288   10 0 (0.965277778 0.034722222)  
##                           2178) NumChildren< 1.5 225    3 0 (0.986666667 0.013333333)  
##                             4356) HouseCosts>=130 222    2 0 (0.990990991 0.009009009)  
##                               8712) ElectricBill>=85 204    1 0 (0.995098039 0.004901961)  
##                                17424) NumChildren< 0.5 162    0 0 (1.000000000 0.000000000) *
##                                17425) NumChildren>=0.5 42    1 0 (0.976190476 0.023809524)  
##                                  34850) NumWorkers>=1.5 35    0 0 (1.000000000 0.000000000) *
##                                  34851) NumWorkers< 1.5 7    1 0 (0.857142857 0.142857143)  
##                                    69702) HouseCosts>=915 5    0 0 (1.000000000 0.000000000) *
##                                    69703) HouseCosts< 915 2    1 0 (0.500000000 0.500000000)  
##                                     139406) Insurance>=1050 1    0 0 (1.000000000 0.000000000) *
##                                     139407) Insurance< 1050 1    0 1 (0.000000000 1.000000000) *
##                               8713) ElectricBill< 85 18    1 0 (0.944444444 0.055555556)  
##                                17426) NumBedrooms>=2.5 13    0 0 (1.000000000 0.000000000) *
##                                17427) NumBedrooms< 2.5 5    1 0 (0.800000000 0.200000000)  
##                                  34854) HouseCosts< 790 3    0 0 (1.000000000 0.000000000) *
##                                  34855) HouseCosts>=790 2    1 0 (0.500000000 0.500000000)  
##                                    69710) Insurance< 1100 1    0 0 (1.000000000 0.000000000) *
##                                    69711) Insurance>=1100 1    0 1 (0.000000000 1.000000000) *
##                             4357) HouseCosts< 130 3    1 0 (0.666666667 0.333333333)  
##                               8714) ElectricBill< 190 2    0 0 (1.000000000 0.000000000) *
##                               8715) ElectricBill>=190 1    0 1 (0.000000000 1.000000000) *
##                           2179) NumChildren>=1.5 63    7 0 (0.888888889 0.111111111)  
##                             4358) NumWorkers>=1.5 52    4 0 (0.923076923 0.076923077)  
##                               8716) ElectricBill>=165 31    0 0 (1.000000000 0.000000000) *
##                               8717) ElectricBill< 165 21    4 0 (0.809523810 0.190476190)  
##                                17434) ElectricBill< 145 16    1 0 (0.937500000 0.062500000)  
##                                  34868) NumVehicles< 3.5 14    0 0 (1.000000000 0.000000000) *
##                                  34869) NumVehicles>=3.5 2    1 0 (0.500000000 0.500000000)  
##                                    69738) Insurance>=1400 1    0 0 (1.000000000 0.000000000) *
##                                    69739) Insurance< 1400 1    0 1 (0.000000000 1.000000000) *
##                                17435) ElectricBill>=145 5    2 1 (0.400000000 0.600000000)  
##                                  34870) HouseCosts< 1350 2    0 0 (1.000000000 0.000000000) *
##                                  34871) HouseCosts>=1350 3    0 1 (0.000000000 1.000000000) *
##                             4359) NumWorkers< 1.5 11    3 0 (0.727272727 0.272727273)  
##                               8718) ElectricBill< 160 7    0 0 (1.000000000 0.000000000) *
##                               8719) ElectricBill>=160 4    1 1 (0.250000000 0.750000000)  
##                                17438) HouseCosts>=1300 1    0 0 (1.000000000 0.000000000) *
##                                17439) HouseCosts< 1300 3    0 1 (0.000000000 1.000000000) *
##                        545) HouseCosts>=1795 221   11 0 (0.950226244 0.049773756)  
##                         1090) ElectricBill< 555 219   10 0 (0.954337900 0.045662100)  
##                           2180) ElectricBill>=205 74    0 0 (1.000000000 0.000000000) *
##                           2181) ElectricBill< 205 145   10 0 (0.931034483 0.068965517)  
##                             4362) ElectricBill< 155 94    2 0 (0.978723404 0.021276596)  
##                               8724) ElectricBill< 135 62    0 0 (1.000000000 0.000000000) *
##                               8725) ElectricBill>=135 32    2 0 (0.937500000 0.062500000)  
##                                17450) Insurance>=1250 16    0 0 (1.000000000 0.000000000) *
##                                17451) Insurance< 1250 16    2 0 (0.875000000 0.125000000)  
##                                  34902) NumPeople>=3.5 9    0 0 (1.000000000 0.000000000) *
##                                  34903) NumPeople< 3.5 7    2 0 (0.714285714 0.285714286)  
##                                    69806) ElectricBill>=145 6    1 0 (0.833333333 0.166666667) *
##                                    69807) ElectricBill< 145 1    0 1 (0.000000000 1.000000000) *
##                             4363) ElectricBill>=155 51    8 0 (0.843137255 0.156862745)  
##                               8726) ElectricBill>=165 47    6 0 (0.872340426 0.127659574)  
##                                17452) NumRooms>=3.5 45    5 0 (0.888888889 0.111111111)  
##                                  34904) NumPeople>=2.5 33    2 0 (0.939393939 0.060606061)  
##                                    69808) NumWorkers>=0.5 31    1 0 (0.967741935 0.032258065)  
##                                     139616) NumVehicles< 2.5 19    0 0 (1.000000000 0.000000000) *
##                                     139617) NumVehicles>=2.5 12    1 0 (0.916666667 0.083333333)  
##                                       279234) ElectricBill< 195 8    0 0 (1.000000000 0.000000000) *
##                                       279235) ElectricBill>=195 4    1 0 (0.750000000 0.250000000)  
##                                         558470) NumChildren< 1 3    0 0 (1.000000000 0.000000000) *
##                                         558471) NumChildren>=1 1    0 1 (0.000000000 1.000000000) *
##                                    69809) NumWorkers< 0.5 2    1 0 (0.500000000 0.500000000)  
##                                     139618) Insurance>=1550 1    0 0 (1.000000000 0.000000000) *
##                                     139619) Insurance< 1550 1    0 1 (0.000000000 1.000000000) *
##                                  34905) NumPeople< 2.5 12    3 0 (0.750000000 0.250000000)  
##                                    69810) Insurance>=1450 5    0 0 (1.000000000 0.000000000) *
##                                    69811) Insurance< 1450 7    3 0 (0.571428571 0.428571429)  
##                                     139622) ElectricBill>=195 2    0 0 (1.000000000 0.000000000) *
##                                     139623) ElectricBill< 195 5    2 1 (0.400000000 0.600000000)  
##                                       279246) HouseCosts>=1850 3    1 0 (0.666666667 0.333333333)  
##                                         558492) ElectricBill< 185 2    0 0 (1.000000000 0.000000000) *
##                                         558493) ElectricBill>=185 1    0 1 (0.000000000 1.000000000) *
##                                       279247) HouseCosts< 1850 2    0 1 (0.000000000 1.000000000) *
##                                17453) NumRooms< 3.5 2    1 0 (0.500000000 0.500000000)  
##                                  34906) Insurance< 1300 1    0 0 (1.000000000 0.000000000) *
##                                  34907) Insurance>=1300 1    0 1 (0.000000000 1.000000000) *
##                               8727) ElectricBill< 165 4    2 0 (0.500000000 0.500000000)  
##                                17454) NumChildren< 0.5 2    0 0 (1.000000000 0.000000000) *
##                                17455) NumChildren>=0.5 2    0 1 (0.000000000 1.000000000) *
##                         1091) ElectricBill>=555 2    1 0 (0.500000000 0.500000000)  
##                           2182) NumBedrooms< 3.5 1    0 0 (1.000000000 0.000000000) *
##                           2183) NumBedrooms>=3.5 1    0 1 (0.000000000 1.000000000) *
##                      273) HouseCosts< 40 4    1 0 (0.750000000 0.250000000)  
##                        546) Insurance>=1050 3    0 0 (1.000000000 0.000000000) *
##                        547) Insurance< 1050 1    0 1 (0.000000000 1.000000000) *
##                    137) NumWorkers>=2.5 371   21 0 (0.943396226 0.056603774)  
##                      274) NumRooms>=5.5 322   14 0 (0.956521739 0.043478261)  
##                        548) NumVehicles< 3.5 230    6 0 (0.973913043 0.026086957)  
##                         1096) ElectricBill< 235 155    1 0 (0.993548387 0.006451613)  
##                           2192) Insurance< 1750 147    0 0 (1.000000000 0.000000000) *
##                           2193) Insurance>=1750 8    1 0 (0.875000000 0.125000000)  
##                             4386) ElectricBill>=155 5    0 0 (1.000000000 0.000000000) *
##                             4387) ElectricBill< 155 3    1 0 (0.666666667 0.333333333)  
##                               8774) ElectricBill< 125 2    0 0 (1.000000000 0.000000000) *
##                               8775) ElectricBill>=125 1    0 1 (0.000000000 1.000000000) *
##                         1097) ElectricBill>=235 75    5 0 (0.933333333 0.066666667)  
##                           2194) ElectricBill>=245 69    3 0 (0.956521739 0.043478261)  
##                             4388) ElectricBill< 475 64    2 0 (0.968750000 0.031250000)  
##                               8776) NumBedrooms< 4.5 59    1 0 (0.983050847 0.016949153)  
##                                17552) Insurance>=1050 45    0 0 (1.000000000 0.000000000) *
##                                17553) Insurance< 1050 14    1 0 (0.928571429 0.071428571)  
##                                  35106) NumRooms>=6.5 11    0 0 (1.000000000 0.000000000) *
##                                  35107) NumRooms< 6.5 3    1 0 (0.666666667 0.333333333)  
##                                    70214) ElectricBill< 290 2    0 0 (1.000000000 0.000000000) *
##                                    70215) ElectricBill>=290 1    0 1 (0.000000000 1.000000000) *
##                               8777) NumBedrooms>=4.5 5    1 0 (0.800000000 0.200000000)  
##                                17554) ElectricBill>=275 4    0 0 (1.000000000 0.000000000) *
##                                17555) ElectricBill< 275 1    0 1 (0.000000000 1.000000000) *
##                             4389) ElectricBill>=475 5    1 0 (0.800000000 0.200000000)  
##                               8778) Insurance< 1350 4    0 0 (1.000000000 0.000000000) *
##                               8779) Insurance>=1350 1    0 1 (0.000000000 1.000000000) *
##                           2195) ElectricBill< 245 6    2 0 (0.666666667 0.333333333)  
##                             4390) NumPeople< 4.5 3    0 0 (1.000000000 0.000000000) *
##                             4391) NumPeople>=4.5 3    1 1 (0.333333333 0.666666667)  
##                               8782) NumPeople>=5.5 1    0 0 (1.000000000 0.000000000) *
##                               8783) NumPeople< 5.5 2    0 1 (0.000000000 1.000000000) *
##                        549) NumVehicles>=3.5 92    8 0 (0.913043478 0.086956522)  
##                         1098) Insurance< 1450 73    4 0 (0.945205479 0.054794521)  
##                           2196) Insurance>=1150 38    0 0 (1.000000000 0.000000000) *
##                           2197) Insurance< 1150 35    4 0 (0.885714286 0.114285714)  
##                             4394) NumVehicles< 4.5 30    2 0 (0.933333333 0.066666667)  
##                               8788) ElectricBill>=95 27    1 0 (0.962962963 0.037037037)  
##                                17576) HouseCosts>=640 23    0 0 (1.000000000 0.000000000) *
##                                17577) HouseCosts< 640 4    1 0 (0.750000000 0.250000000)  
##                                  35154) HouseCosts< 590 3    0 0 (1.000000000 0.000000000) *
##                                  35155) HouseCosts>=590 1    0 1 (0.000000000 1.000000000) *
##                               8789) ElectricBill< 95 3    1 0 (0.666666667 0.333333333)  
##                                17578) HouseCosts< 1010 2    0 0 (1.000000000 0.000000000) *
##                                17579) HouseCosts>=1010 1    0 1 (0.000000000 1.000000000) *
##                             4395) NumVehicles>=4.5 5    2 0 (0.600000000 0.400000000)  
##                               8790) NumBedrooms< 3.5 3    0 0 (1.000000000 0.000000000) *
##                               8791) NumBedrooms>=3.5 2    0 1 (0.000000000 1.000000000) *
##                         1099) Insurance>=1450 19    4 0 (0.789473684 0.210526316)  
##                           2198) ElectricBill>=115 18    3 0 (0.833333333 0.166666667)  
##                             4396) ElectricBill>=195 12    1 0 (0.916666667 0.083333333)  
##                               8792) HouseCosts>=820 9    0 0 (1.000000000 0.000000000) *
##                               8793) HouseCosts< 820 3    1 0 (0.666666667 0.333333333)  
##                                17586) HouseCosts< 750 2    0 0 (1.000000000 0.000000000) *
##                                17587) HouseCosts>=750 1    0 1 (0.000000000 1.000000000) *
##                             4397) ElectricBill< 195 6    2 0 (0.666666667 0.333333333)  
##                               8794) ElectricBill< 165 3    0 0 (1.000000000 0.000000000) *
##                               8795) ElectricBill>=165 3    1 1 (0.333333333 0.666666667)  
##                                17590) HouseCosts< 590 1    0 0 (1.000000000 0.000000000) *
##                                17591) HouseCosts>=590 2    0 1 (0.000000000 1.000000000) *
##                           2199) ElectricBill< 115 1    0 1 (0.000000000 1.000000000) *
##                      275) NumRooms< 5.5 49    7 0 (0.857142857 0.142857143)  
##                        550) ElectricBill< 190 30    2 0 (0.933333333 0.066666667)  
##                         1100) Insurance< 1450 22    0 0 (1.000000000 0.000000000) *
##                         1101) Insurance>=1450 8    2 0 (0.750000000 0.250000000)  
##                           2202) Insurance>=1650 3    0 0 (1.000000000 0.000000000) *
##                           2203) Insurance< 1650 5    2 0 (0.600000000 0.400000000)  
##                             4406) ElectricBill< 120 2    0 0 (1.000000000 0.000000000) *
##                             4407) ElectricBill>=120 3    1 1 (0.333333333 0.666666667)  
##                               8814) ElectricBill>=155 1    0 0 (1.000000000 0.000000000) *
##                               8815) ElectricBill< 155 2    0 1 (0.000000000 1.000000000) *
##                        551) ElectricBill>=190 19    5 0 (0.736842105 0.263157895)  
##                         1102) NumChildren>=1.5 6    0 0 (1.000000000 0.000000000) *
##                         1103) NumChildren< 1.5 13    5 0 (0.615384615 0.384615385)  
##                           2206) ElectricBill>=205 9    2 0 (0.777777778 0.222222222)  
##                             4412) HouseCosts>=1050 8    1 0 (0.875000000 0.125000000)  
##                               8824) ElectricBill< 330 6    0 0 (1.000000000 0.000000000) *
##                               8825) ElectricBill>=330 2    1 0 (0.500000000 0.500000000)  
##                                17650) Insurance< 1150 1    0 0 (1.000000000 0.000000000) *
##                                17651) Insurance>=1150 1    0 1 (0.000000000 1.000000000) *
##                             4413) HouseCosts< 1050 1    0 1 (0.000000000 1.000000000) *
##                           2207) ElectricBill< 205 4    1 1 (0.250000000 0.750000000)  
##                             4414) HouseCosts< 850 1    0 0 (1.000000000 0.000000000) *
##                             4415) HouseCosts>=850 3    0 1 (0.000000000 1.000000000) *
##                   69) Insurance>=1850 42    5 0 (0.880952381 0.119047619)  
##                    138) NumRooms< 7.5 31    2 0 (0.935483871 0.064516129)  
##                      276) HouseCosts>=525 29    1 0 (0.965517241 0.034482759)  
##                        552) NumBedrooms>=2.5 22    0 0 (1.000000000 0.000000000) *
##                        553) NumBedrooms< 2.5 7    1 0 (0.857142857 0.142857143)  
##                         1106) NumPeople>=2.5 4    0 0 (1.000000000 0.000000000) *
##                         1107) NumPeople< 2.5 3    1 0 (0.666666667 0.333333333)  
##                           2214) ElectricBill< 95 2    0 0 (1.000000000 0.000000000) *
##                           2215) ElectricBill>=95 1    0 1 (0.000000000 1.000000000) *
##                      277) HouseCosts< 525 2    1 0 (0.500000000 0.500000000)  
##                        554) ElectricBill>=100 1    0 0 (1.000000000 0.000000000) *
##                        555) ElectricBill< 100 1    0 1 (0.000000000 1.000000000) *
##                    139) NumRooms>=7.5 11    3 0 (0.727272727 0.272727273)  
##                      278) HouseCosts< 1300 7    0 0 (1.000000000 0.000000000) *
##                      279) HouseCosts>=1300 4    1 1 (0.250000000 0.750000000)  
##                        558) NumVehicles< 1.5 1    0 0 (1.000000000 0.000000000) *
##                        559) NumVehicles>=1.5 3    0 1 (0.000000000 1.000000000) *
##                 35) NumRooms>=8.5 605   55 0 (0.909090909 0.090909091)  
##                   70) ElectricBill< 315 522   40 0 (0.923371648 0.076628352)  
##                    140) HouseCosts>=455 462   31 0 (0.932900433 0.067099567)  
##                      280) OwnRent=Mortgage 460   30 0 (0.934782609 0.065217391)  
##                        560) NumVehicles< 3.5 399   22 0 (0.944862155 0.055137845)  
##                         1120) NumChildren< 1.5 281   10 0 (0.964412811 0.035587189)  
##                           2240) Insurance< 1750 263    7 0 (0.973384030 0.026615970)  
##                             4480) Insurance>=1250 117    0 0 (1.000000000 0.000000000) *
##                             4481) Insurance< 1250 146    7 0 (0.952054795 0.047945205)  
##                               8962) HouseCosts< 1270 72    1 0 (0.986111111 0.013888889)  
##                                17924) NumChildren< 0.5 58    0 0 (1.000000000 0.000000000) *
##                                17925) NumChildren>=0.5 14    1 0 (0.928571429 0.071428571)  
##                                  35850) ElectricBill< 165 10    0 0 (1.000000000 0.000000000) *
##                                  35851) ElectricBill>=165 4    1 0 (0.750000000 0.250000000)  
##                                    71702) ElectricBill>=185 3    0 0 (1.000000000 0.000000000) *
##                                    71703) ElectricBill< 185 1    0 1 (0.000000000 1.000000000) *
##                               8963) HouseCosts>=1270 74    6 0 (0.918918919 0.081081081)  
##                                17926) NumBedrooms< 3.5 22    0 0 (1.000000000 0.000000000) *
##                                17927) NumBedrooms>=3.5 52    6 0 (0.884615385 0.115384615)  
##                                  35854) NumPeople>=2.5 24    1 0 (0.958333333 0.041666667)  
##                                    71708) NumBedrooms< 4.5 17    0 0 (1.000000000 0.000000000) *
##                                    71709) NumBedrooms>=4.5 7    1 0 (0.857142857 0.142857143)  
##                                     143418) Insurance< 1150 5    0 0 (1.000000000 0.000000000) *
##                                     143419) Insurance>=1150 2    1 0 (0.500000000 0.500000000)  
##                                       286838) ElectricBill< 190 1    0 0 (1.000000000 0.000000000) *
##                                       286839) ElectricBill>=190 1    0 1 (0.000000000 1.000000000) *
##                                  35855) NumPeople< 2.5 28    5 0 (0.821428571 0.178571429)  
##                                    71710) ElectricBill< 95 6    0 0 (1.000000000 0.000000000) *
##                                    71711) ElectricBill>=95 22    5 0 (0.772727273 0.227272727)  
##                                     143422) ElectricBill>=125 18    2 0 (0.888888889 0.111111111)  
##                                       286844) Insurance>=1050 11    0 0 (1.000000000 0.000000000) *
##                                       286845) Insurance< 1050 7    2 0 (0.714285714 0.285714286)  
##                                         573690) ElectricBill< 165 4    0 0 (1.000000000 0.000000000) *
##                                         573691) ElectricBill>=165 3    1 1 (0.333333333 0.666666667)  
##                                          1147382) ElectricBill>=195 1    0 0 (1.000000000 0.000000000) *
##                                          1147383) ElectricBill< 195 2    0 1 (0.000000000 1.000000000) *
##                                     143423) ElectricBill< 125 4    1 1 (0.250000000 0.750000000)  
##                                       286846) Insurance< 1100 1    0 0 (1.000000000 0.000000000) *
##                                       286847) Insurance>=1100 3    0 1 (0.000000000 1.000000000) *
##                           2241) Insurance>=1750 18    3 0 (0.833333333 0.166666667)  
##                             4482) NumRooms< 17 17    2 0 (0.882352941 0.117647059)  
##                               8964) Insurance>=1850 9    0 0 (1.000000000 0.000000000) *
##                               8965) Insurance< 1850 8    2 0 (0.750000000 0.250000000)  
##                                17930) NumVehicles< 2.5 4    0 0 (1.000000000 0.000000000) *
##                                17931) NumVehicles>=2.5 4    2 0 (0.500000000 0.500000000)  
##                                  35862) ElectricBill>=145 3    1 0 (0.666666667 0.333333333)  
##                                    71724) HouseCosts>=990 2    0 0 (1.000000000 0.000000000) *
##                                    71725) HouseCosts< 990 1    0 1 (0.000000000 1.000000000) *
##                                  35863) ElectricBill< 145 1    0 1 (0.000000000 1.000000000) *
##                             4483) NumRooms>=17 1    0 1 (0.000000000 1.000000000) *
##                         1121) NumChildren>=1.5 118   12 0 (0.898305085 0.101694915)  
##                           2242) ElectricBill< 195 82    5 0 (0.939024390 0.060975610)  
##                             4484) NumRooms>=9.5 43    0 0 (1.000000000 0.000000000) *
##                             4485) NumRooms< 9.5 39    5 0 (0.871794872 0.128205128)  
##                               8970) NumPeople< 7.5 38    4 0 (0.894736842 0.105263158)  
##                                17940) HouseCosts>=1150 21    0 0 (1.000000000 0.000000000) *
##                                17941) HouseCosts< 1150 17    4 0 (0.764705882 0.235294118)  
##                                  35882) HouseCosts< 985 10    1 0 (0.900000000 0.100000000)  
##                                    71764) ElectricBill< 145 8    0 0 (1.000000000 0.000000000) *
##                                    71765) ElectricBill>=145 2    1 0 (0.500000000 0.500000000)  
##                                     143530) Insurance>=1050 1    0 0 (1.000000000 0.000000000) *
##                                     143531) Insurance< 1050 1    0 1 (0.000000000 1.000000000) *
##                                  35883) HouseCosts>=985 7    3 0 (0.571428571 0.428571429)  
##                                    71766) ElectricBill>=125 4    1 0 (0.750000000 0.250000000)  
##                                     143532) NumWorkers< 1.5 3    0 0 (1.000000000 0.000000000) *
##                                     143533) NumWorkers>=1.5 1    0 1 (0.000000000 1.000000000) *
##                                    71767) ElectricBill< 125 3    1 1 (0.333333333 0.666666667)  
##                                     143534) ElectricBill< 80 1    0 0 (1.000000000 0.000000000) *
##                                     143535) ElectricBill>=80 2    0 1 (0.000000000 1.000000000) *
##                               8971) NumPeople>=7.5 1    0 1 (0.000000000 1.000000000) *
##                           2243) ElectricBill>=195 36    7 0 (0.805555556 0.194444444)  
##                             4486) NumChildren< 4.5 35    6 0 (0.828571429 0.171428571)  
##                               8972) ElectricBill>=215 21    1 0 (0.952380952 0.047619048)  
##                                17944) NumWorkers< 2.5 16    0 0 (1.000000000 0.000000000) *
##                                17945) NumWorkers>=2.5 5    1 0 (0.800000000 0.200000000)  
##                                  35890) NumRooms< 9.5 3    0 0 (1.000000000 0.000000000) *
##                                  35891) NumRooms>=9.5 2    1 0 (0.500000000 0.500000000)  
##                                    71782) Insurance>=1400 1    0 0 (1.000000000 0.000000000) *
##                                    71783) Insurance< 1400 1    0 1 (0.000000000 1.000000000) *
##                               8973) ElectricBill< 215 14    5 0 (0.642857143 0.357142857)  
##                                17946) NumPeople>=4.5 7    0 0 (1.000000000 0.000000000) *
##                                17947) NumPeople< 4.5 7    2 1 (0.285714286 0.714285714)  
##                                  35894) HouseCosts< 1650 5    2 1 (0.400000000 0.600000000)  
##                                    71788) Insurance< 1050 1    0 0 (1.000000000 0.000000000) *
##                                    71789) Insurance>=1050 4    1 1 (0.250000000 0.750000000)  
##                                     143578) NumBedrooms>=3.5 1    0 0 (1.000000000 0.000000000) *
##                                     143579) NumBedrooms< 3.5 3    0 1 (0.000000000 1.000000000) *
##                                  35895) HouseCosts>=1650 2    0 1 (0.000000000 1.000000000) *
##                             4487) NumChildren>=4.5 1    0 1 (0.000000000 1.000000000) *
##                        561) NumVehicles>=3.5 61    8 0 (0.868852459 0.131147541)  
##                         1122) HouseCosts< 1850 58    6 0 (0.896551724 0.103448276)  
##                           2244) ElectricBill>=40 57    5 0 (0.912280702 0.087719298)  
##                             4488) HouseCosts>=515 55    4 0 (0.927272727 0.072727273)  
##                               8976) NumRooms>=9.5 30    0 0 (1.000000000 0.000000000) *
##                               8977) NumRooms< 9.5 25    4 0 (0.840000000 0.160000000)  
##                                17954) HouseCosts< 1450 21    2 0 (0.904761905 0.095238095)  
##                                  35908) ElectricBill< 250 18    1 0 (0.944444444 0.055555556)  
##                                    71816) HouseCosts>=770 12    0 0 (1.000000000 0.000000000) *
##                                    71817) HouseCosts< 770 6    1 0 (0.833333333 0.166666667)  
##                                     143634) HouseCosts< 755 5    0 0 (1.000000000 0.000000000) *
##                                     143635) HouseCosts>=755 1    0 1 (0.000000000 1.000000000) *
##                                  35909) ElectricBill>=250 3    1 0 (0.666666667 0.333333333)  
##                                    71818) ElectricBill>=280 2    0 0 (1.000000000 0.000000000) *
##                                    71819) ElectricBill< 280 1    0 1 (0.000000000 1.000000000) *
##                                17955) HouseCosts>=1450 4    2 0 (0.500000000 0.500000000)  
##                                  35910) ElectricBill>=160 2    0 0 (1.000000000 0.000000000) *
##                                  35911) ElectricBill< 160 2    0 1 (0.000000000 1.000000000) *
##                             4489) HouseCosts< 515 2    1 0 (0.500000000 0.500000000)  
##                               8978) Insurance< 1300 1    0 0 (1.000000000 0.000000000) *
##                               8979) Insurance>=1300 1    0 1 (0.000000000 1.000000000) *
##                           2245) ElectricBill< 40 1    0 1 (0.000000000 1.000000000) *
##                         1123) HouseCosts>=1850 3    1 1 (0.333333333 0.666666667)  
##                           2246) Insurance>=1250 1    0 0 (1.000000000 0.000000000) *
##                           2247) Insurance< 1250 2    0 1 (0.000000000 1.000000000) *
##                      281) OwnRent=Outright 2    1 0 (0.500000000 0.500000000)  
##                        562) ElectricBill>=190 1    0 0 (1.000000000 0.000000000) *
##                        563) ElectricBill< 190 1    0 1 (0.000000000 1.000000000) *
##                    141) HouseCosts< 455 60    9 0 (0.850000000 0.150000000)  
##                      282) Insurance< 1150 18    0 0 (1.000000000 0.000000000) *
##                      283) Insurance>=1150 42    9 0 (0.785714286 0.214285714)  
##                        566) NumBedrooms>=4.5 11    0 0 (1.000000000 0.000000000) *
##                        567) NumBedrooms< 4.5 31    9 0 (0.709677419 0.290322581)  
##                         1134) NumRooms< 9.5 18    3 0 (0.833333333 0.166666667)  
##                           2268) NumVehicles< 4.5 17    2 0 (0.882352941 0.117647059)  
##                             4536) ElectricBill< 190 11    0 0 (1.000000000 0.000000000) *
##                             4537) ElectricBill>=190 6    2 0 (0.666666667 0.333333333)  
##                               9074) ElectricBill>=225 5    1 0 (0.800000000 0.200000000)  
##                                18148) Insurance>=1500 3    0 0 (1.000000000 0.000000000) *
##                                18149) Insurance< 1500 2    1 0 (0.500000000 0.500000000)  
##                                  36298) Insurance< 1300 1    0 0 (1.000000000 0.000000000) *
##                                  36299) Insurance>=1300 1    0 1 (0.000000000 1.000000000) *
##                               9075) ElectricBill< 225 1    0 1 (0.000000000 1.000000000) *
##                           2269) NumVehicles>=4.5 1    0 1 (0.000000000 1.000000000) *
##                         1135) NumRooms>=9.5 13    6 0 (0.538461538 0.461538462)  
##                           2270) NumRooms>=10.5 7    1 0 (0.857142857 0.142857143)  
##                             4540) ElectricBill>=90 5    0 0 (1.000000000 0.000000000) *
##                             4541) ElectricBill< 90 2    1 0 (0.500000000 0.500000000)  
##                               9082) ElectricBill< 60 1    0 0 (1.000000000 0.000000000) *
##                               9083) ElectricBill>=60 1    0 1 (0.000000000 1.000000000) *
##                           2271) NumRooms< 10.5 6    1 1 (0.166666667 0.833333333)  
##                             4542) NumChildren>=3 1    0 0 (1.000000000 0.000000000) *
##                             4543) NumChildren< 3 5    0 1 (0.000000000 1.000000000) *
##                   71) ElectricBill>=315 83   15 0 (0.819277108 0.180722892)  
##                    142) Insurance>=1050 74   11 0 (0.851351351 0.148648649)  
##                      284) ElectricBill>=325 72   10 0 (0.861111111 0.138888889)  
##                        568) HouseCosts>=150 70    9 0 (0.871428571 0.128571429)  
##                         1136) NumVehicles< 5.5 68    8 0 (0.882352941 0.117647059)  
##                           2272) NumBedrooms>=4.5 22    1 0 (0.954545455 0.045454545)  
##                             4544) Insurance>=1150 19    0 0 (1.000000000 0.000000000) *
##                             4545) Insurance< 1150 3    1 0 (0.666666667 0.333333333)  
##                               9090) ElectricBill>=355 2    0 0 (1.000000000 0.000000000) *
##                               9091) ElectricBill< 355 1    0 1 (0.000000000 1.000000000) *
##                           2273) NumBedrooms< 4.5 46    7 0 (0.847826087 0.152173913)  
##                             4546) HouseCosts< 855 10    0 0 (1.000000000 0.000000000) *
##                             4547) HouseCosts>=855 36    7 0 (0.805555556 0.194444444)  
##                               9094) HouseCosts>=930 32    5 0 (0.843750000 0.156250000)  
##                                18188) Insurance>=1250 20    1 0 (0.950000000 0.050000000)  
##                                  36376) HouseCosts< 1700 16    0 0 (1.000000000 0.000000000) *
##                                  36377) HouseCosts>=1700 4    1 0 (0.750000000 0.250000000)  
##                                    72754) Insurance>=1750 3    0 0 (1.000000000 0.000000000) *
##                                    72755) Insurance< 1750 1    0 1 (0.000000000 1.000000000) *
##                                18189) Insurance< 1250 12    4 0 (0.666666667 0.333333333)  
##                                  36378) HouseCosts>=1450 10    2 0 (0.800000000 0.200000000)  
##                                    72756) NumRooms< 12.5 9    1 0 (0.888888889 0.111111111)  
##                                     145512) HouseCosts>=1550 6    0 0 (1.000000000 0.000000000) *
##                                     145513) HouseCosts< 1550 3    1 0 (0.666666667 0.333333333)  
##                                       291026) ElectricBill>=415 2    0 0 (1.000000000 0.000000000) *
##                                       291027) ElectricBill< 415 1    0 1 (0.000000000 1.000000000) *
##                                    72757) NumRooms>=12.5 1    0 1 (0.000000000 1.000000000) *
##                                  36379) HouseCosts< 1450 2    0 1 (0.000000000 1.000000000) *
##                               9095) HouseCosts< 930 4    2 0 (0.500000000 0.500000000)  
##                                18190) NumChildren>=1.5 2    0 0 (1.000000000 0.000000000) *
##                                18191) NumChildren< 1.5 2    0 1 (0.000000000 1.000000000) *
##                         1137) NumVehicles>=5.5 2    1 0 (0.500000000 0.500000000)  
##                           2274) ElectricBill< 405 1    0 0 (1.000000000 0.000000000) *
##                           2275) ElectricBill>=405 1    0 1 (0.000000000 1.000000000) *
##                        569) HouseCosts< 150 2    1 0 (0.500000000 0.500000000)  
##                         1138) Insurance>=1550 1    0 0 (1.000000000 0.000000000) *
##                         1139) Insurance< 1550 1    0 1 (0.000000000 1.000000000) *
##                      285) ElectricBill< 325 2    1 0 (0.500000000 0.500000000)  
##                        570) Insurance>=1400 1    0 0 (1.000000000 0.000000000) *
##                        571) Insurance< 1400 1    0 1 (0.000000000 1.000000000) *
##                    143) Insurance< 1050 9    4 0 (0.555555556 0.444444444)  
##                      286) NumBedrooms>=3.5 8    3 0 (0.625000000 0.375000000)  
##                        572) NumBedrooms< 4.5 3    0 0 (1.000000000 0.000000000) *
##                        573) NumBedrooms>=4.5 5    2 1 (0.400000000 0.600000000)  
##                         1146) HouseCosts< 1100 3    1 0 (0.666666667 0.333333333)  
##                           2292) ElectricBill< 365 1    0 0 (1.000000000 0.000000000) *
##                           2293) ElectricBill>=365 2    1 0 (0.500000000 0.500000000)  
##                             4586) ElectricBill>=395 1    0 0 (1.000000000 0.000000000) *
##                             4587) ElectricBill< 395 1    0 1 (0.000000000 1.000000000) *
##                         1147) HouseCosts>=1100 2    0 1 (0.000000000 1.000000000) *
##                      287) NumBedrooms< 3.5 1    0 1 (0.000000000 1.000000000) *
##              9) HouseCosts>=1905 3209  237 0 (0.926145217 0.073854783)  
##               18) NumRooms< 7.5 1848   78 0 (0.957792208 0.042207792)  
##                 36) HouseCosts< 2950 1545   52 0 (0.966343042 0.033656958)  
##                   72) HouseCosts>=1915 1543   51 0 (0.966947505 0.033052495)  
##                    144) NumVehicles< 1.5 406    4 0 (0.990147783 0.009852217)  
##                      288) ElectricBill< 165 221    0 0 (1.000000000 0.000000000) *
##                      289) ElectricBill>=165 185    4 0 (0.978378378 0.021621622)  
##                        578) ElectricBill>=185 164    2 0 (0.987804878 0.012195122)  
##                         1156) Insurance< 1450 127    0 0 (1.000000000 0.000000000) *
##                         1157) Insurance>=1450 37    2 0 (0.945945946 0.054054054)  
##                           2314) NumPeople>=2.5 28    0 0 (1.000000000 0.000000000) *
##                           2315) NumPeople< 2.5 9    2 0 (0.777777778 0.222222222)  
##                             4630) HouseCosts< 2450 6    0 0 (1.000000000 0.000000000) *
##                             4631) HouseCosts>=2450 3    1 1 (0.333333333 0.666666667)  
##                               9262) ElectricBill< 275 2    1 0 (0.500000000 0.500000000)  
##                                18524) HouseCosts< 2550 1    0 0 (1.000000000 0.000000000) *
##                                18525) HouseCosts>=2550 1    0 1 (0.000000000 1.000000000) *
##                               9263) ElectricBill>=275 1    0 1 (0.000000000 1.000000000) *
##                        579) ElectricBill< 185 21    2 0 (0.904761905 0.095238095)  
##                         1158) NumRooms< 6.5 19    1 0 (0.947368421 0.052631579)  
##                           2316) HouseCosts>=2150 15    0 0 (1.000000000 0.000000000) *
##                           2317) HouseCosts< 2150 4    1 0 (0.750000000 0.250000000)  
##                             4634) Insurance< 550 3    0 0 (1.000000000 0.000000000) *
##                             4635) Insurance>=550 1    0 1 (0.000000000 1.000000000) *
##                         1159) NumRooms>=6.5 2    1 0 (0.500000000 0.500000000)  
##                           2318) Insurance>=905 1    0 0 (1.000000000 0.000000000) *
##                           2319) Insurance< 905 1    0 1 (0.000000000 1.000000000) *
##                    145) NumVehicles>=1.5 1137   47 0 (0.958663149 0.041336851)  
##                      290) NumRooms< 6.5 670   21 0 (0.968656716 0.031343284)  
##                        580) OwnRent=Mortgage 634   17 0 (0.973186120 0.026813880)  
##                         1160) NumWorkers< 2.5 506   10 0 (0.980237154 0.019762846)  
##                           2320) HouseCosts< 2805 487    8 0 (0.983572895 0.016427105)  
##                             4640) NumChildren< 3.5 479    7 0 (0.985386221 0.014613779)  
##                               9280) NumVehicles< 2.5 391    4 0 (0.989769821 0.010230179)  
##                                18560) Insurance>=655 334    2 0 (0.994011976 0.005988024)  
##                                  37120) HouseCosts>=2225 181    0 0 (1.000000000 0.000000000) *
##                                  37121) HouseCosts< 2225 153    2 0 (0.986928105 0.013071895)  
##                                    74242) ElectricBill< 255 129    1 0 (0.992248062 0.007751938)  
##                                     148484) NumPeople>=2.5 88    0 0 (1.000000000 0.000000000) *
##                                     148485) NumPeople< 2.5 41    1 0 (0.975609756 0.024390244)  
##                                       296970) HouseCosts< 2165 29    0 0 (1.000000000 0.000000000) *
##                                       296971) HouseCosts>=2165 12    1 0 (0.916666667 0.083333333)  
##                                         593942) ElectricBill< 135 7    0 0 (1.000000000 0.000000000) *
##                                         593943) ElectricBill>=135 5    1 0 (0.800000000 0.200000000)  
##                                          1187886) ElectricBill>=175 4    0 0 (1.000000000 0.000000000) *
##                                          1187887) ElectricBill< 175 1    0 1 (0.000000000 1.000000000) *
##                                    74243) ElectricBill>=255 24    1 0 (0.958333333 0.041666667)  
##                                     148486) ElectricBill>=270 19    0 0 (1.000000000 0.000000000) *
##                                     148487) ElectricBill< 270 5    1 0 (0.800000000 0.200000000)  
##                                       296974) HouseCosts>=2050 4    0 0 (1.000000000 0.000000000) *
##                                       296975) HouseCosts< 2050 1    0 1 (0.000000000 1.000000000) *
##                                18561) Insurance< 655 57    2 0 (0.964912281 0.035087719)  
##                                  37122) Insurance< 630 55    1 0 (0.981818182 0.018181818)  
##                                    74244) NumWorkers>=1.5 39    0 0 (1.000000000 0.000000000) *
##                                    74245) NumWorkers< 1.5 16    1 0 (0.937500000 0.062500000)  
##                                     148490) NumChildren< 1.5 11    0 0 (1.000000000 0.000000000) *
##                                     148491) NumChildren>=1.5 5    1 0 (0.800000000 0.200000000)  
##                                       296982) Insurance< 102 3    0 0 (1.000000000 0.000000000) *
##                                       296983) Insurance>=102 2    1 0 (0.500000000 0.500000000)  
##                                         593966) Insurance>=340 1    0 0 (1.000000000 0.000000000) *
##                                         593967) Insurance< 340 1    0 1 (0.000000000 1.000000000) *
##                                  37123) Insurance>=630 2    1 0 (0.500000000 0.500000000)  
##                                    74246) ElectricBill< 215 1    0 0 (1.000000000 0.000000000) *
##                                    74247) ElectricBill>=215 1    0 1 (0.000000000 1.000000000) *
##                               9281) NumVehicles>=2.5 88    3 0 (0.965909091 0.034090909)  
##                                18562) ElectricBill>=85 84    2 0 (0.976190476 0.023809524)  
##                                  37124) Insurance< 1150 48    0 0 (1.000000000 0.000000000) *
##                                  37125) Insurance>=1150 36    2 0 (0.944444444 0.055555556)  
##                                    74250) ElectricBill< 195 16    0 0 (1.000000000 0.000000000) *
##                                    74251) ElectricBill>=195 20    2 0 (0.900000000 0.100000000)  
##                                     148502) NumPeople>=3.5 10    0 0 (1.000000000 0.000000000) *
##                                     148503) NumPeople< 3.5 10    2 0 (0.800000000 0.200000000)  
##                                       297006) HouseCosts< 2100 3    0 0 (1.000000000 0.000000000) *
##                                       297007) HouseCosts>=2100 7    2 0 (0.714285714 0.285714286)  
##                                         594014) ElectricBill< 295 6    1 0 (0.833333333 0.166666667)  
##                                          1188028) HouseCosts>=2250 5    0 0 (1.000000000 0.000000000) *
##                                          1188029) HouseCosts< 2250 1    0 1 (0.000000000 1.000000000) *
##                                         594015) ElectricBill>=295 1    0 1 (0.000000000 1.000000000) *
##                                18563) ElectricBill< 85 4    1 0 (0.750000000 0.250000000)  
##                                  37126) Insurance< 1100 3    0 0 (1.000000000 0.000000000) *
##                                  37127) Insurance>=1100 1    0 1 (0.000000000 1.000000000) *
##                             4641) NumChildren>=3.5 8    1 0 (0.875000000 0.125000000)  
##                               9282) HouseCosts< 2550 7    0 0 (1.000000000 0.000000000) *
##                               9283) HouseCosts>=2550 1    0 1 (0.000000000 1.000000000) *
##                           2321) HouseCosts>=2805 19    2 0 (0.894736842 0.105263158)  
##                             4642) HouseCosts>=2815 18    1 0 (0.944444444 0.055555556)  
##                               9284) Insurance< 1100 12    0 0 (1.000000000 0.000000000) *
##                               9285) Insurance>=1100 6    1 0 (0.833333333 0.166666667)  
##                                18570) NumRooms< 5.5 4    0 0 (1.000000000 0.000000000) *
##                                18571) NumRooms>=5.5 2    1 0 (0.500000000 0.500000000)  
##                                  37142) Insurance>=1350 1    0 0 (1.000000000 0.000000000) *
##                                  37143) Insurance< 1350 1    0 1 (0.000000000 1.000000000) *
##                             4643) HouseCosts< 2815 1    0 1 (0.000000000 1.000000000) *
##                         1161) NumWorkers>=2.5 128    7 0 (0.945312500 0.054687500)  
##                           2322) ElectricBill>=55 127    6 0 (0.952755906 0.047244094)  
##                             4644) ElectricBill< 540 124    5 0 (0.959677419 0.040322581)  
##                               9288) NumChildren>=0.5 38    0 0 (1.000000000 0.000000000) *
##                               9289) NumChildren< 0.5 86    5 0 (0.941860465 0.058139535)  
##                                18578) Insurance>=300 83    4 0 (0.951807229 0.048192771)  
##                                  37156) NumBedrooms< 3.5 69    2 0 (0.971014493 0.028985507)  
##                                    74312) ElectricBill< 225 46    0 0 (1.000000000 0.000000000) *
##                                    74313) ElectricBill>=225 23    2 0 (0.913043478 0.086956522)  
##                                     148626) Insurance>=750 21    1 0 (0.952380952 0.047619048)  
##                                       297252) ElectricBill>=235 17    0 0 (1.000000000 0.000000000) *
##                                       297253) ElectricBill< 235 4    1 0 (0.750000000 0.250000000)  
##                                         594506) HouseCosts< 2300 3    0 0 (1.000000000 0.000000000) *
##                                         594507) HouseCosts>=2300 1    0 1 (0.000000000 1.000000000) *
##                                     148627) Insurance< 750 2    1 0 (0.500000000 0.500000000)  
##                                       297254) Insurance< 535 1    0 0 (1.000000000 0.000000000) *
##                                       297255) Insurance>=535 1    0 1 (0.000000000 1.000000000) *
##                                  37157) NumBedrooms>=3.5 14    2 0 (0.857142857 0.142857143)  
##                                    74314) NumVehicles>=2.5 9    0 0 (1.000000000 0.000000000) *
##                                    74315) NumVehicles< 2.5 5    2 0 (0.600000000 0.400000000)  
##                                     148630) NumPeople>=5.5 2    0 0 (1.000000000 0.000000000) *
##                                     148631) NumPeople< 5.5 3    1 1 (0.333333333 0.666666667)  
##                                       297262) Insurance>=1100 2    1 0 (0.500000000 0.500000000)  
##                                         594524) ElectricBill>=135 1    0 0 (1.000000000 0.000000000) *
##                                         594525) ElectricBill< 135 1    0 1 (0.000000000 1.000000000) *
##                                       297263) Insurance< 1100 1    0 1 (0.000000000 1.000000000) *
##                                18579) Insurance< 300 3    1 0 (0.666666667 0.333333333)  
##                                  37158) Insurance< 175 2    0 0 (1.000000000 0.000000000) *
##                                  37159) Insurance>=175 1    0 1 (0.000000000 1.000000000) *
##                             4645) ElectricBill>=540 3    1 0 (0.666666667 0.333333333)  
##                               9290) Insurance>=1300 2    0 0 (1.000000000 0.000000000) *
##                               9291) Insurance< 1300 1    0 1 (0.000000000 1.000000000) *
##                           2323) ElectricBill< 55 1    0 1 (0.000000000 1.000000000) *
##                        581) OwnRent=Rented 36    4 0 (0.888888889 0.111111111)  
##                         1162) HouseCosts< 2450 28    2 0 (0.928571429 0.071428571)  
##                           2324) ElectricBill< 225 17    0 0 (1.000000000 0.000000000) *
##                           2325) ElectricBill>=225 11    2 0 (0.818181818 0.181818182)  
##                             4650) ElectricBill>=275 10    1 0 (0.900000000 0.100000000)  
##                               9300) NumPeople>=3.5 6    0 0 (1.000000000 0.000000000) *
##                               9301) NumPeople< 3.5 4    1 0 (0.750000000 0.250000000)  
##                                18602) ElectricBill>=325 3    0 0 (1.000000000 0.000000000) *
##                                18603) ElectricBill< 325 1    0 1 (0.000000000 1.000000000) *
##                             4651) ElectricBill< 275 1    0 1 (0.000000000 1.000000000) *
##                         1163) HouseCosts>=2450 8    2 0 (0.750000000 0.250000000)  
##                           2326) NumWorkers>=1.5 7    1 0 (0.857142857 0.142857143)  
##                             4652) NumVehicles< 2.5 5    0 0 (1.000000000 0.000000000) *
##                             4653) NumVehicles>=2.5 2    1 0 (0.500000000 0.500000000)  
##                               9306) ElectricBill>=200 1    0 0 (1.000000000 0.000000000) *
##                               9307) ElectricBill< 200 1    0 1 (0.000000000 1.000000000) *
##                           2327) NumWorkers< 1.5 1    0 1 (0.000000000 1.000000000) *
##                      291) NumRooms>=6.5 467   26 0 (0.944325482 0.055674518)  
##                        582) NumVehicles< 5.5 465   25 0 (0.946236559 0.053763441)  
##                         1164) ElectricBill< 185 230    8 0 (0.965217391 0.034782609)  
##                           2328) Insurance< 1750 222    7 0 (0.968468468 0.031531532)  
##                             4656) NumPeople< 3.5 120    2 0 (0.983333333 0.016666667)  
##                               9312) Insurance< 1250 91    0 0 (1.000000000 0.000000000) *
##                               9313) Insurance>=1250 29    2 0 (0.931034483 0.068965517)  
##                                18626) HouseCosts>=2150 19    0 0 (1.000000000 0.000000000) *
##                                18627) HouseCosts< 2150 10    2 0 (0.800000000 0.200000000)  
##                                  37254) ElectricBill< 175 9    1 0 (0.888888889 0.111111111)  
##                                    74508) Insurance>=1350 7    0 0 (1.000000000 0.000000000) *
##                                    74509) Insurance< 1350 2    1 0 (0.500000000 0.500000000)  
##                                     149018) ElectricBill< 80 1    0 0 (1.000000000 0.000000000) *
##                                     149019) ElectricBill>=80 1    0 1 (0.000000000 1.000000000) *
##                                  37255) ElectricBill>=175 1    0 1 (0.000000000 1.000000000) *
##                             4657) NumPeople>=3.5 102    5 0 (0.950980392 0.049019608)  
##                               9314) ElectricBill>=75 96    3 0 (0.968750000 0.031250000)  
##                                18628) Insurance>=525 74    1 0 (0.986486486 0.013513514)  
##                                  37256) NumChildren< 2.5 60    0 0 (1.000000000 0.000000000) *
##                                  37257) NumChildren>=2.5 14    1 0 (0.928571429 0.071428571)  
##                                    74514) HouseCosts< 2450 8    0 0 (1.000000000 0.000000000) *
##                                    74515) HouseCosts>=2450 6    1 0 (0.833333333 0.166666667)  
##                                     149030) HouseCosts>=2550 4    0 0 (1.000000000 0.000000000) *
##                                     149031) HouseCosts< 2550 2    1 0 (0.500000000 0.500000000)  
##                                       298062) ElectricBill>=165 1    0 0 (1.000000000 0.000000000) *
##                                       298063) ElectricBill< 165 1    0 1 (0.000000000 1.000000000) *
##                                18629) Insurance< 525 22    2 0 (0.909090909 0.090909091)  
##                                  37258) Insurance< 450 17    0 0 (1.000000000 0.000000000) *
##                                  37259) Insurance>=450 5    2 0 (0.600000000 0.400000000)  
##                                    74518) ElectricBill< 160 4    1 0 (0.750000000 0.250000000)  
##                                     149036) HouseCosts>=2050 3    0 0 (1.000000000 0.000000000) *
##                                     149037) HouseCosts< 2050 1    0 1 (0.000000000 1.000000000) *
##                                    74519) ElectricBill>=160 1    0 1 (0.000000000 1.000000000) *
##                               9315) ElectricBill< 75 6    2 0 (0.666666667 0.333333333)  
##                                18630) Insurance< 1050 3    0 0 (1.000000000 0.000000000) *
##                                18631) Insurance>=1050 3    1 1 (0.333333333 0.666666667)  
##                                  37262) ElectricBill< 45 1    0 0 (1.000000000 0.000000000) *
##                                  37263) ElectricBill>=45 2    0 1 (0.000000000 1.000000000) *
##                           2329) Insurance>=1750 8    1 0 (0.875000000 0.125000000)  
##                             4658) NumChildren>=0.5 7    0 0 (1.000000000 0.000000000) *
##                             4659) NumChildren< 0.5 1    0 1 (0.000000000 1.000000000) *
##                         1165) ElectricBill>=185 235   17 0 (0.927659574 0.072340426)  
##                           2330) ElectricBill>=355 43    0 0 (1.000000000 0.000000000) *
##                           2331) ElectricBill< 355 192   17 0 (0.911458333 0.088541667)  
##                             4662) ElectricBill< 345 181   14 0 (0.922651934 0.077348066)  
##                               9324) NumVehicles< 3.5 174   12 0 (0.931034483 0.068965517)  
##                                18648) HouseCosts< 2750 156    9 0 (0.942307692 0.057692308)  
##                                  37296) ElectricBill< 215 43    0 0 (1.000000000 0.000000000) *
##                                  37297) ElectricBill>=215 113    9 0 (0.920353982 0.079646018)  
##                                    74594) ElectricBill>=225 107    7 0 (0.934579439 0.065420561)  
##                                     149188) Insurance>=1350 26    0 0 (1.000000000 0.000000000) *
##                                     149189) Insurance< 1350 81    7 0 (0.913580247 0.086419753)  
##                                       298378) HouseCosts>=2550 16    0 0 (1.000000000 0.000000000) *
##                                       298379) HouseCosts< 2550 65    7 0 (0.892307692 0.107692308)  
##                                         596758) NumPeople>=5.5 10    0 0 (1.000000000 0.000000000) *
##                                         596759) NumPeople< 5.5 55    7 0 (0.872727273 0.127272727)  
##                                          1193518) NumPeople< 3.5 27    2 0 (0.925925926 0.074074074)  
##                                            2387036) OwnRent=Mortgage 24    1 0 (0.958333333 0.041666667)  
##                                              4774072) NumVehicles< 2.5 18    0 0 (1.000000000 0.000000000) *
##                                              4774073) NumVehicles>=2.5 6    1 0 (0.833333333 0.166666667)  
##                                                9548146) Insurance< 980 4    0 0 (1.000000000 0.000000000) *
##                                                9548147) Insurance>=980 2    1 0 (0.500000000 0.500000000)  
##                                                 19096294) ElectricBill< 240 1    0 0 (1.000000000 0.000000000) *
##                                                 19096295) ElectricBill>=240 1    0 1 (0.000000000 1.000000000) *
##                                            2387037) OwnRent=Rented 3    1 0 (0.666666667 0.333333333)  
##                                              4774074) HouseCosts>=2250 2    0 0 (1.000000000 0.000000000) *
##                                              4774075) HouseCosts< 2250 1    0 1 (0.000000000 1.000000000) *
##                                          1193519) NumPeople>=3.5 28    5 0 (0.821428571 0.178571429)  
##                                            2387038) HouseCosts< 2450 25    3 0 (0.880000000 0.120000000)  
##                                              4774076) Insurance< 750 7    0 0 (1.000000000 0.000000000) *
##                                              4774077) Insurance>=750 18    3 0 (0.833333333 0.166666667)  
##                                                9548154) ElectricBill< 295 11    1 0 (0.909090909 0.090909091)  
##                                                 19096308) HouseCosts>=2050 8    0 0 (1.000000000 0.000000000) *
##                                                 19096309) HouseCosts< 2050 3    1 0 (0.666666667 0.333333333)  
##                                                   38192618) Insurance>=1100 2    0 0 (1.000000000 0.000000000) *
##                                                   38192619) Insurance< 1100 1    0 1 (0.000000000 1.000000000) *
##                                                9548155) ElectricBill>=295 7    2 0 (0.714285714 0.285714286)  
##                                                 19096310) HouseCosts< 2050 4    0 0 (1.000000000 0.000000000) *
##                                                 19096311) HouseCosts>=2050 3    1 1 (0.333333333 0.666666667)  
##                                                   38192622) Insurance>=900 2    1 0 (0.500000000 0.500000000)  
##                                                     76385244) Insurance< 1100 1    0 0 (1.000000000 0.000000000) *
##                                                     76385245) Insurance>=1100 1    0 1 (0.000000000 1.000000000) *
##                                                   38192623) Insurance< 900 1    0 1 (0.000000000 1.000000000) *
##                                            2387039) HouseCosts>=2450 3    1 1 (0.333333333 0.666666667)  
##                                              4774078) NumChildren>=2.5 1    0 0 (1.000000000 0.000000000) *
##                                              4774079) NumChildren< 2.5 2    0 1 (0.000000000 1.000000000) *
##                                    74595) ElectricBill< 225 6    2 0 (0.666666667 0.333333333)  
##                                     149190) NumBedrooms< 3.5 4    0 0 (1.000000000 0.000000000) *
##                                     149191) NumBedrooms>=3.5 2    0 1 (0.000000000 1.000000000) *
##                                18649) HouseCosts>=2750 18    3 0 (0.833333333 0.166666667)  
##                                  37298) ElectricBill>=210 11    0 0 (1.000000000 0.000000000) *
##                                  37299) ElectricBill< 210 7    3 0 (0.571428571 0.428571429)  
##                                    74598) NumChildren>=1.5 3    0 0 (1.000000000 0.000000000) *
##                                    74599) NumChildren< 1.5 4    1 1 (0.250000000 0.750000000)  
##                                     149198) Insurance>=610 2    1 0 (0.500000000 0.500000000)  
##                                       298396) Insurance< 1210 1    0 0 (1.000000000 0.000000000) *
##                                       298397) Insurance>=1210 1    0 1 (0.000000000 1.000000000) *
##                                     149199) Insurance< 610 2    0 1 (0.000000000 1.000000000) *
##                               9325) NumVehicles>=3.5 7    2 0 (0.714285714 0.285714286)  
##                                18650) ElectricBill>=275 4    0 0 (1.000000000 0.000000000) *
##                                18651) ElectricBill< 275 3    1 1 (0.333333333 0.666666667)  
##                                  37302) Insurance>=1300 1    0 0 (1.000000000 0.000000000) *
##                                  37303) Insurance< 1300 2    0 1 (0.000000000 1.000000000) *
##                             4663) ElectricBill>=345 11    3 0 (0.727272727 0.272727273)  
##                               9326) NumBedrooms< 4.5 10    2 0 (0.800000000 0.200000000)  
##                                18652) NumVehicles< 2.5 9    1 0 (0.888888889 0.111111111)  
##                                  37304) HouseCosts>=2050 7    0 0 (1.000000000 0.000000000) *
##                                  37305) HouseCosts< 2050 2    1 0 (0.500000000 0.500000000)  
##                                    74610) Insurance< 900 1    0 0 (1.000000000 0.000000000) *
##                                    74611) Insurance>=900 1    0 1 (0.000000000 1.000000000) *
##                                18653) NumVehicles>=2.5 1    0 1 (0.000000000 1.000000000) *
##                               9327) NumBedrooms>=4.5 1    0 1 (0.000000000 1.000000000) *
##                        583) NumVehicles>=5.5 2    1 0 (0.500000000 0.500000000)  
##                         1166) Insurance< 750 1    0 0 (1.000000000 0.000000000) *
##                         1167) Insurance>=750 1    0 1 (0.000000000 1.000000000) *
##                   73) HouseCosts< 1915 2    1 0 (0.500000000 0.500000000)  
##                    146) Insurance< 495 1    0 0 (1.000000000 0.000000000) *
##                    147) Insurance>=495 1    0 1 (0.000000000 1.000000000) *
##                 37) HouseCosts>=2950 303   26 0 (0.914191419 0.085808581)  
##                   74) NumVehicles< 5.5 302   25 0 (0.917218543 0.082781457)  
##                    148) Insurance>=115 271   18 0 (0.933579336 0.066420664)  
##                      296) ElectricBill>=35 268   17 0 (0.936567164 0.063432836)  
##                        592) ElectricBill< 185 128    5 0 (0.960937500 0.039062500)  
##                         1184) Insurance>=1150 70    0 0 (1.000000000 0.000000000) *
##                         1185) Insurance< 1150 58    5 0 (0.913793103 0.086206897)  
##                           2370) ElectricBill>=135 29    0 0 (1.000000000 0.000000000) *
##                           2371) ElectricBill< 135 29    5 0 (0.827586207 0.172413793)  
##                             4742) NumVehicles< 1.5 10    0 0 (1.000000000 0.000000000) *
##                             4743) NumVehicles>=1.5 19    5 0 (0.736842105 0.263157895)  
##                               9486) Insurance< 1050 16    3 0 (0.812500000 0.187500000)  
##                                18972) HouseCosts< 3050 9    0 0 (1.000000000 0.000000000) *
##                                18973) HouseCosts>=3050 7    3 0 (0.571428571 0.428571429)  
##                                  37946) NumChildren>=1 2    0 0 (1.000000000 0.000000000) *
##                                  37947) NumChildren< 1 5    2 1 (0.400000000 0.600000000)  
##                                    75894) Insurance>=840 3    1 0 (0.666666667 0.333333333)  
##                                     151788) Insurance< 990 2    0 0 (1.000000000 0.000000000) *
##                                     151789) Insurance>=990 1    0 1 (0.000000000 1.000000000) *
##                                    75895) Insurance< 840 2    0 1 (0.000000000 1.000000000) *
##                               9487) Insurance>=1050 3    1 1 (0.333333333 0.666666667)  
##                                18974) ElectricBill< 110 1    0 0 (1.000000000 0.000000000) *
##                                18975) ElectricBill>=110 2    0 1 (0.000000000 1.000000000) *
##                        593) ElectricBill>=185 140   12 0 (0.914285714 0.085714286)  
##                         1186) Insurance< 1550 118    8 0 (0.932203390 0.067796610)  
##                           2372) NumChildren>=0.5 79    2 0 (0.974683544 0.025316456)  
##                             4744) ElectricBill< 510 76    1 0 (0.986842105 0.013157895)  
##                               9488) Insurance< 1450 64    0 0 (1.000000000 0.000000000) *
##                               9489) Insurance>=1450 12    1 0 (0.916666667 0.083333333)  
##                                18978) ElectricBill>=210 11    0 0 (1.000000000 0.000000000) *
##                                18979) ElectricBill< 210 1    0 1 (0.000000000 1.000000000) *
##                             4745) ElectricBill>=510 3    1 0 (0.666666667 0.333333333)  
##                               9490) Insurance>=1400 2    0 0 (1.000000000 0.000000000) *
##                               9491) Insurance< 1400 1    0 1 (0.000000000 1.000000000) *
##                           2373) NumChildren< 0.5 39    6 0 (0.846153846 0.153846154)  
##                             4746) Insurance>=1050 21    1 0 (0.952380952 0.047619048)  
##                               9492) NumPeople< 3.5 16    0 0 (1.000000000 0.000000000) *
##                               9493) NumPeople>=3.5 5    1 0 (0.800000000 0.200000000)  
##                                18986) Insurance< 1350 4    0 0 (1.000000000 0.000000000) *
##                                18987) Insurance>=1350 1    0 1 (0.000000000 1.000000000) *
##                             4747) Insurance< 1050 18    5 0 (0.722222222 0.277777778)  
##                               9494) ElectricBill>=195 17    4 0 (0.764705882 0.235294118)  
##                                18988) HouseCosts< 3250 14    2 0 (0.857142857 0.142857143)  
##                                  37976) ElectricBill>=215 12    1 0 (0.916666667 0.083333333)  
##                                    75952) NumBedrooms< 3.5 9    0 0 (1.000000000 0.000000000) *
##                                    75953) NumBedrooms>=3.5 3    1 0 (0.666666667 0.333333333)  
##                                     151906) Insurance< 855 2    0 0 (1.000000000 0.000000000) *
##                                     151907) Insurance>=855 1    0 1 (0.000000000 1.000000000) *
##                                  37977) ElectricBill< 215 2    1 0 (0.500000000 0.500000000)  
##                                    75954) NumBedrooms>=2.5 1    0 0 (1.000000000 0.000000000) *
##                                    75955) NumBedrooms< 2.5 1    0 1 (0.000000000 1.000000000) *
##                                18989) HouseCosts>=3250 3    1 1 (0.333333333 0.666666667)  
##                                  37978) ElectricBill>=305 1    0 0 (1.000000000 0.000000000) *
##                                  37979) ElectricBill< 305 2    0 1 (0.000000000 1.000000000) *
##                               9495) ElectricBill< 195 1    0 1 (0.000000000 1.000000000) *
##                         1187) Insurance>=1550 22    4 0 (0.818181818 0.181818182)  
##                           2374) NumChildren< 1.5 8    0 0 (1.000000000 0.000000000) *
##                           2375) NumChildren>=1.5 14    4 0 (0.714285714 0.285714286)  
##                             4750) NumBedrooms>=3.5 5    0 0 (1.000000000 0.000000000) *
##                             4751) NumBedrooms< 3.5 9    4 0 (0.555555556 0.444444444)  
##                               9502) NumWorkers< 1.5 5    1 0 (0.800000000 0.200000000)  
##                                19004) ElectricBill>=240 3    0 0 (1.000000000 0.000000000) *
##                                19005) ElectricBill< 240 2    1 0 (0.500000000 0.500000000)  
##                                  38010) Insurance< 1750 1    0 0 (1.000000000 0.000000000) *
##                                  38011) Insurance>=1750 1    0 1 (0.000000000 1.000000000) *
##                               9503) NumWorkers>=1.5 4    1 1 (0.250000000 0.750000000)  
##                                19006) ElectricBill< 215 1    0 0 (1.000000000 0.000000000) *
##                                19007) ElectricBill>=215 3    0 1 (0.000000000 1.000000000) *
##                      297) ElectricBill< 35 3    1 0 (0.666666667 0.333333333)  
##                        594) ElectricBill< 15 2    0 0 (1.000000000 0.000000000) *
##                        595) ElectricBill>=15 1    0 1 (0.000000000 1.000000000) *
##                    149) Insurance< 115 31    7 0 (0.774193548 0.225806452)  
##                      298) NumBedrooms>=3.5 9    0 0 (1.000000000 0.000000000) *
##                      299) NumBedrooms< 3.5 22    7 0 (0.681818182 0.318181818)  
##                        598) NumRooms< 5.5 7    0 0 (1.000000000 0.000000000) *
##                        599) NumRooms>=5.5 15    7 0 (0.533333333 0.466666667)  
##                         1198) NumVehicles< 1.5 4    0 0 (1.000000000 0.000000000) *
##                         1199) NumVehicles>=1.5 11    4 1 (0.363636364 0.636363636)  
##                           2398) ElectricBill< 175 6    2 0 (0.666666667 0.333333333)  
##                             4796) NumWorkers< 1.5 5    1 0 (0.800000000 0.200000000)  
##                               9592) ElectricBill< 105 2    0 0 (1.000000000 0.000000000) *
##                               9593) ElectricBill>=105 3    1 0 (0.666666667 0.333333333)  
##                                19186) HouseCosts>=3100 2    0 0 (1.000000000 0.000000000) *
##                                19187) HouseCosts< 3100 1    0 1 (0.000000000 1.000000000) *
##                             4797) NumWorkers>=1.5 1    0 1 (0.000000000 1.000000000) *
##                           2399) ElectricBill>=175 5    0 1 (0.000000000 1.000000000) *
##                   75) NumVehicles>=5.5 1    0 1 (0.000000000 1.000000000) *
##               19) NumRooms>=7.5 1361  159 0 (0.883174137 0.116825863)  
##                 38) ElectricBill< 285 1054  107 0 (0.898481973 0.101518027)  
##                   76) NumRooms< 11.5 979   91 0 (0.907048008 0.092951992)  
##                    152) HouseCosts< 2750 664   48 0 (0.927710843 0.072289157)  
##                      304) NumVehicles< 4.5 645   44 0 (0.931782946 0.068217054)  
##                        608) NumRooms< 10.5 611   39 0 (0.936170213 0.063829787)  
##                         1216) ElectricBill< 75 41    0 0 (1.000000000 0.000000000) *
##                         1217) ElectricBill>=75 570   39 0 (0.931578947 0.068421053)  
##                           2434) ElectricBill>=145 383   22 0 (0.942558747 0.057441253)  
##                             4868) NumVehicles>=1.5 327   16 0 (0.951070336 0.048929664)  
##                               9736) NumBedrooms>=2.5 325   15 0 (0.953846154 0.046153846)  
##                                19472) HouseCosts>=2450 92    1 0 (0.989130435 0.010869565)  
##                                  38944) Insurance>=550 77    0 0 (1.000000000 0.000000000) *
##                                  38945) Insurance< 550 15    1 0 (0.933333333 0.066666667)  
##                                    77890) Insurance< 450 13    0 0 (1.000000000 0.000000000) *
##                                    77891) Insurance>=450 2    1 0 (0.500000000 0.500000000)  
##                                     155782) ElectricBill< 175 1    0 0 (1.000000000 0.000000000) *
##                                     155783) ElectricBill>=175 1    0 1 (0.000000000 1.000000000) *
##                                19473) HouseCosts< 2450 233   14 0 (0.939914163 0.060085837)  
##                                  38946) ElectricBill< 225 160    7 0 (0.956250000 0.043750000)  
##                                    77892) NumRooms< 9.5 130    4 0 (0.969230769 0.030769231)  
##                                     155784) Insurance< 1050 57    0 0 (1.000000000 0.000000000) *
##                                     155785) Insurance>=1050 73    4 0 (0.945205479 0.054794521)  
##                                       311570) NumChildren< 0.5 32    0 0 (1.000000000 0.000000000) *
##                                       311571) NumChildren>=0.5 41    4 0 (0.902439024 0.097560976)  
##                                         623142) NumPeople>=3.5 30    1 0 (0.966666667 0.033333333)  
##                                          1246284) NumWorkers>=1.5 24    0 0 (1.000000000 0.000000000) *
##                                          1246285) NumWorkers< 1.5 6    1 0 (0.833333333 0.166666667)  
##                                            2492570) ElectricBill< 195 4    0 0 (1.000000000 0.000000000) *
##                                            2492571) ElectricBill>=195 2    1 0 (0.500000000 0.500000000)  
##                                              4985142) Insurance>=1350 1    0 0 (1.000000000 0.000000000) *
##                                              4985143) Insurance< 1350 1    0 1 (0.000000000 1.000000000) *
##                                         623143) NumPeople< 3.5 11    3 0 (0.727272727 0.272727273)  
##                                          1246286) NumVehicles< 2.5 8    1 0 (0.875000000 0.125000000)  
##                                            2492572) HouseCosts< 2350 6    0 0 (1.000000000 0.000000000) *
##                                            2492573) HouseCosts>=2350 2    1 0 (0.500000000 0.500000000)  
##                                              4985146) Insurance< 1400 1    0 0 (1.000000000 0.000000000) *
##                                              4985147) Insurance>=1400 1    0 1 (0.000000000 1.000000000) *
##                                          1246287) NumVehicles>=2.5 3    1 1 (0.333333333 0.666666667)  
##                                            2492574) Insurance>=1500 1    0 0 (1.000000000 0.000000000) *
##                                            2492575) Insurance< 1500 2    0 1 (0.000000000 1.000000000) *
##                                    77893) NumRooms>=9.5 30    3 0 (0.900000000 0.100000000)  
##                                     155786) ElectricBill>=165 23    1 0 (0.956521739 0.043478261)  
##                                       311572) HouseCosts>=2050 19    0 0 (1.000000000 0.000000000) *
##                                       311573) HouseCosts< 2050 4    1 0 (0.750000000 0.250000000)  
##                                         623146) NumChildren< 1 3    0 0 (1.000000000 0.000000000) *
##                                         623147) NumChildren>=1 1    0 1 (0.000000000 1.000000000) *
##                                     155787) ElectricBill< 165 7    2 0 (0.714285714 0.285714286)  
##                                       311574) ElectricBill< 155 4    0 0 (1.000000000 0.000000000) *
##                                       311575) ElectricBill>=155 3    1 1 (0.333333333 0.666666667)  
##                                         623150) HouseCosts< 2050 1    0 0 (1.000000000 0.000000000) *
##                                         623151) HouseCosts>=2050 2    0 1 (0.000000000 1.000000000) *
##                                  38947) ElectricBill>=225 73    7 0 (0.904109589 0.095890411)  
##                                    77894) ElectricBill>=255 20    0 0 (1.000000000 0.000000000) *
##                                    77895) ElectricBill< 255 53    7 0 (0.867924528 0.132075472)  
##                                     155790) Insurance>=1400 15    0 0 (1.000000000 0.000000000) *
##                                     155791) Insurance< 1400 38    7 0 (0.815789474 0.184210526)  
##                                       311582) Insurance< 1050 22    2 0 (0.909090909 0.090909091)  
##                                         623164) NumChildren< 2.5 20    1 0 (0.950000000 0.050000000)  
##                                          1246328) NumPeople>=2.5 16    0 0 (1.000000000 0.000000000) *
##                                          1246329) NumPeople< 2.5 4    1 0 (0.750000000 0.250000000)  
##                                            2492658) Insurance>=955 3    0 0 (1.000000000 0.000000000) *
##                                            2492659) Insurance< 955 1    0 1 (0.000000000 1.000000000) *
##                                         623165) NumChildren>=2.5 2    1 0 (0.500000000 0.500000000)  
##                                          1246330) Insurance>=500 1    0 0 (1.000000000 0.000000000) *
##                                          1246331) Insurance< 500 1    0 1 (0.000000000 1.000000000) *
##                                       311583) Insurance>=1050 16    5 0 (0.687500000 0.312500000)  
##                                         623166) HouseCosts< 2150 7    0 0 (1.000000000 0.000000000) *
##                                         623167) HouseCosts>=2150 9    4 1 (0.444444444 0.555555556)  
##                                          1246334) HouseCosts>=2350 4    1 0 (0.750000000 0.250000000)  
##                                            2492668) NumVehicles< 3.5 3    0 0 (1.000000000 0.000000000) *
##                                            2492669) NumVehicles>=3.5 1    0 1 (0.000000000 1.000000000) *
##                                          1246335) HouseCosts< 2350 5    1 1 (0.200000000 0.800000000)  
##                                            2492670) ElectricBill< 240 2    1 0 (0.500000000 0.500000000)  
##                                              4985340) HouseCosts< 2250 1    0 0 (1.000000000 0.000000000) *
##                                              4985341) HouseCosts>=2250 1    0 1 (0.000000000 1.000000000) *
##                                            2492671) ElectricBill>=240 3    0 1 (0.000000000 1.000000000) *
##                               9737) NumBedrooms< 2.5 2    1 0 (0.500000000 0.500000000)  
##                                19474) Insurance< 1300 1    0 0 (1.000000000 0.000000000) *
##                                19475) Insurance>=1300 1    0 1 (0.000000000 1.000000000) *
##                             4869) NumVehicles< 1.5 56    6 0 (0.892857143 0.107142857)  
##                               9738) NumWorkers< 1.5 24    0 0 (1.000000000 0.000000000) *
##                               9739) NumWorkers>=1.5 32    6 0 (0.812500000 0.187500000)  
##                                19478) ElectricBill< 170 9    0 0 (1.000000000 0.000000000) *
##                                19479) ElectricBill>=170 23    6 0 (0.739130435 0.260869565)  
##                                  38958) ElectricBill>=195 15    2 0 (0.866666667 0.133333333)  
##                                    77916) HouseCosts< 2450 10    0 0 (1.000000000 0.000000000) *
##                                    77917) HouseCosts>=2450 5    2 0 (0.600000000 0.400000000)  
##                                     155834) Insurance>=1100 2    0 0 (1.000000000 0.000000000) *
##                                     155835) Insurance< 1100 3    1 1 (0.333333333 0.666666667)  
##                                       311670) ElectricBill< 225 1    0 0 (1.000000000 0.000000000) *
##                                       311671) ElectricBill>=225 2    0 1 (0.000000000 1.000000000) *
##                                  38959) ElectricBill< 195 8    4 0 (0.500000000 0.500000000)  
##                                    77918) NumBedrooms< 3.5 3    0 0 (1.000000000 0.000000000) *
##                                    77919) NumBedrooms>=3.5 5    1 1 (0.200000000 0.800000000)  
##                                     155838) Insurance>=1350 1    0 0 (1.000000000 0.000000000) *
##                                     155839) Insurance< 1350 4    0 1 (0.000000000 1.000000000) *
##                           2435) ElectricBill< 145 187   17 0 (0.909090909 0.090909091)  
##                             4870) Insurance< 1650 180   14 0 (0.922222222 0.077777778)  
##                               9740) NumChildren< 3.5 177   13 0 (0.926553672 0.073446328)  
##                                19480) ElectricBill>=115 70    2 0 (0.971428571 0.028571429)  
##                                  38960) NumVehicles< 3.5 66    1 0 (0.984848485 0.015151515)  
##                                    77920) NumRooms< 9.5 61    0 0 (1.000000000 0.000000000) *
##                                    77921) NumRooms>=9.5 5    1 0 (0.800000000 0.200000000)  
##                                     155842) HouseCosts< 2350 4    0 0 (1.000000000 0.000000000) *
##                                     155843) HouseCosts>=2350 1    0 1 (0.000000000 1.000000000) *
##                                  38961) NumVehicles>=3.5 4    1 0 (0.750000000 0.250000000)  
##                                    77922) ElectricBill< 125 3    0 0 (1.000000000 0.000000000) *
##                                    77923) ElectricBill>=125 1    0 1 (0.000000000 1.000000000) *
##                                19481) ElectricBill< 115 107   11 0 (0.897196262 0.102803738)  
##                                  38962) HouseCosts< 2650 100    9 0 (0.910000000 0.090000000)  
##                                    77924) NumChildren< 1.5 60    3 0 (0.950000000 0.050000000)  
##                                     155848) NumBedrooms>=3.5 36    0 0 (1.000000000 0.000000000) *
##                                     155849) NumBedrooms< 3.5 24    3 0 (0.875000000 0.125000000)  
##                                       311698) Insurance>=700 16    1 0 (0.937500000 0.062500000)  
##                                         623396) NumVehicles>=1.5 14    0 0 (1.000000000 0.000000000) *
##                                         623397) NumVehicles< 1.5 2    1 0 (0.500000000 0.500000000)  
##                                          1246794) Insurance>=1450 1    0 0 (1.000000000 0.000000000) *
##                                          1246795) Insurance< 1450 1    0 1 (0.000000000 1.000000000) *
##                                       311699) Insurance< 700 8    2 0 (0.750000000 0.250000000)  
##                                         623398) Insurance< 550 5    0 0 (1.000000000 0.000000000) *
##                                         623399) Insurance>=550 3    1 1 (0.333333333 0.666666667)  
##                                          1246798) ElectricBill>=105 1    0 0 (1.000000000 0.000000000) *
##                                          1246799) ElectricBill< 105 2    0 1 (0.000000000 1.000000000) *
##                                    77925) NumChildren>=1.5 40    6 0 (0.850000000 0.150000000)  
##                                     155850) NumWorkers< 2.5 34    3 0 (0.911764706 0.088235294)  
##                                       311700) ElectricBill< 105 28    1 0 (0.964285714 0.035714286)  
##                                         623400) ElectricBill>=95 17    0 0 (1.000000000 0.000000000) *
##                                         623401) ElectricBill< 95 11    1 0 (0.909090909 0.090909091)  
##                                          1246802) ElectricBill< 85 8    0 0 (1.000000000 0.000000000) *
##                                          1246803) ElectricBill>=85 3    1 0 (0.666666667 0.333333333)  
##                                            2493606) Insurance>=1050 2    0 0 (1.000000000 0.000000000) *
##                                            2493607) Insurance< 1050 1    0 1 (0.000000000 1.000000000) *
##                                       311701) ElectricBill>=105 6    2 0 (0.666666667 0.333333333)  
##                                         623402) NumChildren>=2.5 3    0 0 (1.000000000 0.000000000) *
##                                         623403) NumChildren< 2.5 3    1 1 (0.333333333 0.666666667)  
##                                          1246806) NumBedrooms< 3.5 1    0 0 (1.000000000 0.000000000) *
##                                          1246807) NumBedrooms>=3.5 2    0 1 (0.000000000 1.000000000) *
##                                     155851) NumWorkers>=2.5 6    3 0 (0.500000000 0.500000000)  
##                                       311702) NumRooms< 8.5 2    0 0 (1.000000000 0.000000000) *
##                                       311703) NumRooms>=8.5 4    1 1 (0.250000000 0.750000000)  
##                                         623406) ElectricBill< 85 1    0 0 (1.000000000 0.000000000) *
##                                         623407) ElectricBill>=85 3    0 1 (0.000000000 1.000000000) *
##                                  38963) HouseCosts>=2650 7    2 0 (0.714285714 0.285714286)  
##                                    77926) Insurance>=1000 5    0 0 (1.000000000 0.000000000) *
##                                    77927) Insurance< 1000 2    0 1 (0.000000000 1.000000000) *
##                               9741) NumChildren>=3.5 3    1 0 (0.666666667 0.333333333)  
##                                19482) Insurance< 1150 2    0 0 (1.000000000 0.000000000) *
##                                19483) Insurance>=1150 1    0 1 (0.000000000 1.000000000) *
##                             4871) Insurance>=1650 7    3 0 (0.571428571 0.428571429)  
##                               9742) ElectricBill< 115 3    0 0 (1.000000000 0.000000000) *
##                               9743) ElectricBill>=115 4    1 1 (0.250000000 0.750000000)  
##                                19486) HouseCosts< 2050 1    0 0 (1.000000000 0.000000000) *
##                                19487) HouseCosts>=2050 3    0 1 (0.000000000 1.000000000) *
##                        609) NumRooms>=10.5 34    5 0 (0.852941176 0.147058824)  
##                         1218) Insurance>=400 26    2 0 (0.923076923 0.076923077)  
##                           2436) NumBedrooms< 6.5 23    1 0 (0.956521739 0.043478261)  
##                             4872) NumPeople< 5.5 20    0 0 (1.000000000 0.000000000) *
##                             4873) NumPeople>=5.5 3    1 0 (0.666666667 0.333333333)  
##                               9746) Insurance>=1070 2    0 0 (1.000000000 0.000000000) *
##                               9747) Insurance< 1070 1    0 1 (0.000000000 1.000000000) *
##                           2437) NumBedrooms>=6.5 3    1 0 (0.666666667 0.333333333)  
##                             4874) Insurance>=1250 2    0 0 (1.000000000 0.000000000) *
##                             4875) Insurance< 1250 1    0 1 (0.000000000 1.000000000) *
##                         1219) Insurance< 400 8    3 0 (0.625000000 0.375000000)  
##                           2438) Insurance< 150 7    2 0 (0.714285714 0.285714286)  
##                             4876) NumChildren>=0.5 4    0 0 (1.000000000 0.000000000) *
##                             4877) NumChildren< 0.5 3    1 1 (0.333333333 0.666666667)  
##                               9754) NumBedrooms>=4.5 1    0 0 (1.000000000 0.000000000) *
##                               9755) NumBedrooms< 4.5 2    0 1 (0.000000000 1.000000000) *
##                           2439) Insurance>=150 1    0 1 (0.000000000 1.000000000) *
##                      305) NumVehicles>=4.5 19    4 0 (0.789473684 0.210526316)  
##                        610) Insurance< 770 6    0 0 (1.000000000 0.000000000) *
##                        611) Insurance>=770 13    4 0 (0.692307692 0.307692308)  
##                         1222) Insurance>=1050 8    1 0 (0.875000000 0.125000000)  
##                           2444) Insurance< 1450 4    0 0 (1.000000000 0.000000000) *
##                           2445) Insurance>=1450 4    1 0 (0.750000000 0.250000000)  
##                             4890) HouseCosts< 2300 2    0 0 (1.000000000 0.000000000) *
##                             4891) HouseCosts>=2300 2    1 0 (0.500000000 0.500000000)  
##                               9782) Insurance>=1650 1    0 0 (1.000000000 0.000000000) *
##                               9783) Insurance< 1650 1    0 1 (0.000000000 1.000000000) *
##                         1223) Insurance< 1050 5    2 1 (0.400000000 0.600000000)  
##                           2446) NumBedrooms>=4.5 2    0 0 (1.000000000 0.000000000) *
##                           2447) NumBedrooms< 4.5 3    0 1 (0.000000000 1.000000000) *
##                    153) HouseCosts>=2750 315   43 0 (0.863492063 0.136507937)  
##                      306) NumPeople>=2.5 254   28 0 (0.889763780 0.110236220)  
##                        612) NumVehicles< 2.5 156   12 0 (0.923076923 0.076923077)  
##                         1224) HouseCosts< 3050 81    3 0 (0.962962963 0.037037037)  
##                           2448) NumWorkers>=1.5 65    1 0 (0.984615385 0.015384615)  
##                             4896) Insurance< 1350 46    0 0 (1.000000000 0.000000000) *
##                             4897) Insurance>=1350 19    1 0 (0.947368421 0.052631579)  
##                               9794) Insurance>=1450 13    0 0 (1.000000000 0.000000000) *
##                               9795) Insurance< 1450 6    1 0 (0.833333333 0.166666667)  
##                                19590) NumBedrooms>=3.5 4    0 0 (1.000000000 0.000000000) *
##                                19591) NumBedrooms< 3.5 2    1 0 (0.500000000 0.500000000)  
##                                  39182) ElectricBill>=170 1    0 0 (1.000000000 0.000000000) *
##                                  39183) ElectricBill< 170 1    0 1 (0.000000000 1.000000000) *
##                           2449) NumWorkers< 1.5 16    2 0 (0.875000000 0.125000000)  
##                             4898) ElectricBill< 230 15    1 0 (0.933333333 0.066666667)  
##                               9796) Insurance>=650 12    0 0 (1.000000000 0.000000000) *
##                               9797) Insurance< 650 3    1 0 (0.666666667 0.333333333)  
##                                19594) Insurance< 300 2    0 0 (1.000000000 0.000000000) *
##                                19595) Insurance>=300 1    0 1 (0.000000000 1.000000000) *
##                             4899) ElectricBill>=230 1    0 1 (0.000000000 1.000000000) *
##                         1225) HouseCosts>=3050 75    9 0 (0.880000000 0.120000000)  
##                           2450) NumBedrooms< 6.5 71    7 0 (0.901408451 0.098591549)  
##                             4900) Insurance>=650 58    4 0 (0.931034483 0.068965517)  
##                               9800) HouseCosts< 3250 35    1 0 (0.971428571 0.028571429)  
##                                19600) ElectricBill>=105 28    0 0 (1.000000000 0.000000000) *
##                                19601) ElectricBill< 105 7    1 0 (0.857142857 0.142857143)  
##                                  39202) NumBedrooms< 4.5 5    0 0 (1.000000000 0.000000000) *
##                                  39203) NumBedrooms>=4.5 2    1 0 (0.500000000 0.500000000)  
##                                    78406) NumChildren>=1.5 1    0 0 (1.000000000 0.000000000) *
##                                    78407) NumChildren< 1.5 1    0 1 (0.000000000 1.000000000) *
##                               9801) HouseCosts>=3250 23    3 0 (0.869565217 0.130434783)  
##                                19602) Insurance< 1650 22    2 0 (0.909090909 0.090909091)  
##                                  39204) ElectricBill< 185 13    0 0 (1.000000000 0.000000000) *
##                                  39205) ElectricBill>=185 9    2 0 (0.777777778 0.222222222)  
##                                    78410) ElectricBill>=195 8    1 0 (0.875000000 0.125000000)  
##                                     156820) NumChildren< 2.5 6    0 0 (1.000000000 0.000000000) *
##                                     156821) NumChildren>=2.5 2    1 0 (0.500000000 0.500000000)  
##                                       313642) Insurance< 1200 1    0 0 (1.000000000 0.000000000) *
##                                       313643) Insurance>=1200 1    0 1 (0.000000000 1.000000000) *
##                                    78411) ElectricBill< 195 1    0 1 (0.000000000 1.000000000) *
##                                19603) Insurance>=1650 1    0 1 (0.000000000 1.000000000) *
##                             4901) Insurance< 650 13    3 0 (0.769230769 0.230769231)  
##                               9802) HouseCosts>=3150 9    0 0 (1.000000000 0.000000000) *
##                               9803) HouseCosts< 3150 4    1 1 (0.250000000 0.750000000)  
##                                19606) NumChildren< 0.5 1    0 0 (1.000000000 0.000000000) *
##                                19607) NumChildren>=0.5 3    0 1 (0.000000000 1.000000000) *
##                           2451) NumBedrooms>=6.5 4    2 0 (0.500000000 0.500000000)  
##                             4902) Insurance< 900 1    0 0 (1.000000000 0.000000000) *
##                             4903) Insurance>=900 3    1 1 (0.333333333 0.666666667)  
##                               9806) Insurance>=1300 2    1 0 (0.500000000 0.500000000)  
##                                19612) Insurance< 1550 1    0 0 (1.000000000 0.000000000) *
##                                19613) Insurance>=1550 1    0 1 (0.000000000 1.000000000) *
##                               9807) Insurance< 1300 1    0 1 (0.000000000 1.000000000) *
##                        613) NumVehicles>=2.5 98   16 0 (0.836734694 0.163265306)  
##                         1226) NumPeople< 9.5 97   15 0 (0.845360825 0.154639175)  
##                           2452) NumPeople>=3.5 70    8 0 (0.885714286 0.114285714)  
##                             4904) NumChildren< 2.5 56    4 0 (0.928571429 0.071428571)  
##                               9808) NumVehicles< 4.5 49    2 0 (0.959183673 0.040816327)  
##                                19616) ElectricBill>=155 34    0 0 (1.000000000 0.000000000) *
##                                19617) ElectricBill< 155 15    2 0 (0.866666667 0.133333333)  
##                                  39234) HouseCosts>=2950 8    0 0 (1.000000000 0.000000000) *
##                                  39235) HouseCosts< 2950 7    2 0 (0.714285714 0.285714286)  
##                                    78470) ElectricBill< 145 4    0 0 (1.000000000 0.000000000) *
##                                    78471) ElectricBill>=145 3    1 1 (0.333333333 0.666666667)  
##                                     156942) Insurance< 805 1    0 0 (1.000000000 0.000000000) *
##                                     156943) Insurance>=805 2    0 1 (0.000000000 1.000000000) *
##                               9809) NumVehicles>=4.5 7    2 0 (0.714285714 0.285714286)  
##                                19618) Insurance>=975 6    1 0 (0.833333333 0.166666667)  
##                                  39236) ElectricBill< 205 3    0 0 (1.000000000 0.000000000) *
##                                  39237) ElectricBill>=205 3    1 0 (0.666666667 0.333333333)  
##                                    78474) ElectricBill>=230 2    0 0 (1.000000000 0.000000000) *
##                                    78475) ElectricBill< 230 1    0 1 (0.000000000 1.000000000) *
##                                19619) Insurance< 975 1    0 1 (0.000000000 1.000000000) *
##                             4905) NumChildren>=2.5 14    4 0 (0.714285714 0.285714286)  
##                               9810) Insurance< 1450 12    2 0 (0.833333333 0.166666667)  
##                                19620) NumWorkers< 2.5 9    0 0 (1.000000000 0.000000000) *
##                                19621) NumWorkers>=2.5 3    1 1 (0.333333333 0.666666667)  
##                                  39242) ElectricBill>=200 1    0 0 (1.000000000 0.000000000) *
##                                  39243) ElectricBill< 200 2    0 1 (0.000000000 1.000000000) *
##                               9811) Insurance>=1450 2    0 1 (0.000000000 1.000000000) *
##                           2453) NumPeople< 3.5 27    7 0 (0.740740741 0.259259259)  
##                             4906) Insurance>=350 25    5 0 (0.800000000 0.200000000)  
##                               9812) ElectricBill< 240 24    4 0 (0.833333333 0.166666667)  
##                                19624) NumChildren>=0.5 9    0 0 (1.000000000 0.000000000) *
##                                19625) NumChildren< 0.5 15    4 0 (0.733333333 0.266666667)  
##                                  39250) Insurance>=975 12    2 0 (0.833333333 0.166666667)  
##                                    78500) ElectricBill>=115 10    1 0 (0.900000000 0.100000000)  
##                                     157000) Insurance< 1350 7    0 0 (1.000000000 0.000000000) *
##                                     157001) Insurance>=1350 3    1 0 (0.666666667 0.333333333)  
##                                       314002) Insurance>=1450 2    0 0 (1.000000000 0.000000000) *
##                                       314003) Insurance< 1450 1    0 1 (0.000000000 1.000000000) *
##                                    78501) ElectricBill< 115 2    1 0 (0.500000000 0.500000000)  
##                                     157002) Insurance< 1100 1    0 0 (1.000000000 0.000000000) *
##                                     157003) Insurance>=1100 1    0 1 (0.000000000 1.000000000) *
##                                  39251) Insurance< 975 3    1 1 (0.333333333 0.666666667)  
##                                    78502) Insurance>=860 2    1 0 (0.500000000 0.500000000)  
##                                     157004) Insurance< 925 1    0 0 (1.000000000 0.000000000) *
##                                     157005) Insurance>=925 1    0 1 (0.000000000 1.000000000) *
##                                    78503) Insurance< 860 1    0 1 (0.000000000 1.000000000) *
##                               9813) ElectricBill>=240 1    0 1 (0.000000000 1.000000000) *
##                             4907) Insurance< 350 2    0 1 (0.000000000 1.000000000) *
##                         1227) NumPeople>=9.5 1    0 1 (0.000000000 1.000000000) *
##                      307) NumPeople< 2.5 61   15 0 (0.754098361 0.245901639)  
##                        614) Insurance< 1650 55   11 0 (0.800000000 0.200000000)  
##                         1228) HouseCosts>=2850 48    8 0 (0.833333333 0.166666667)  
##                           2456) HouseCosts< 3065 24    1 0 (0.958333333 0.041666667)  
##                             4912) NumVehicles< 2.5 21    0 0 (1.000000000 0.000000000) *
##                             4913) NumVehicles>=2.5 3    1 0 (0.666666667 0.333333333)  
##                               9826) Insurance< 1250 2    0 0 (1.000000000 0.000000000) *
##                               9827) Insurance>=1250 1    0 1 (0.000000000 1.000000000) *
##                           2457) HouseCosts>=3065 24    7 0 (0.708333333 0.291666667)  
##                             4914) Insurance>=1050 17    3 0 (0.823529412 0.176470588)  
##                               9828) ElectricBill< 115 7    0 0 (1.000000000 0.000000000) *
##                               9829) ElectricBill>=115 10    3 0 (0.700000000 0.300000000)  
##                                19658) HouseCosts< 3350 9    2 0 (0.777777778 0.222222222)  
##                                  39316) NumRooms< 9.5 8    1 0 (0.875000000 0.125000000)  
##                                    78632) ElectricBill>=125 6    0 0 (1.000000000 0.000000000) *
##                                    78633) ElectricBill< 125 2    1 0 (0.500000000 0.500000000)  
##                                     157266) Insurance< 1150 1    0 0 (1.000000000 0.000000000) *
##                                     157267) Insurance>=1150 1    0 1 (0.000000000 1.000000000) *
##                                  39317) NumRooms>=9.5 1    0 1 (0.000000000 1.000000000) *
##                                19659) HouseCosts>=3350 1    0 1 (0.000000000 1.000000000) *
##                             4915) Insurance< 1050 7    3 1 (0.428571429 0.571428571)  
##                               9830) Insurance< 750 5    2 0 (0.600000000 0.400000000)  
##                                19660) Insurance>=325 2    0 0 (1.000000000 0.000000000) *
##                                19661) Insurance< 325 3    1 1 (0.333333333 0.666666667)  
##                                  39322) NumChildren>=0.5 1    0 0 (1.000000000 0.000000000) *
##                                  39323) NumChildren< 0.5 2    0 1 (0.000000000 1.000000000) *
##                               9831) Insurance>=750 2    0 1 (0.000000000 1.000000000) *
##                         1229) HouseCosts< 2850 7    3 0 (0.571428571 0.428571429)  
##                           2458) Insurance< 1450 5    1 0 (0.800000000 0.200000000)  
##                             4916) ElectricBill< 215 4    0 0 (1.000000000 0.000000000) *
##                             4917) ElectricBill>=215 1    0 1 (0.000000000 1.000000000) *
##                           2459) Insurance>=1450 2    0 1 (0.000000000 1.000000000) *
##                        615) Insurance>=1650 6    2 1 (0.333333333 0.666666667)  
##                         1230) NumWorkers< 1.5 3    1 0 (0.666666667 0.333333333)  
##                           2460) ElectricBill< 160 2    0 0 (1.000000000 0.000000000) *
##                           2461) ElectricBill>=160 1    0 1 (0.000000000 1.000000000) *
##                         1231) NumWorkers>=1.5 3    0 1 (0.000000000 1.000000000) *
##                   77) NumRooms>=11.5 75   16 0 (0.786666667 0.213333333)  
##                    154) ElectricBill>=145 49    7 0 (0.857142857 0.142857143)  
##                      308) NumPeople< 3.5 17    0 0 (1.000000000 0.000000000) *
##                      309) NumPeople>=3.5 32    7 0 (0.781250000 0.218750000)  
##                        618) NumWorkers>=1.5 29    5 0 (0.827586207 0.172413793)  
##                         1236) NumVehicles< 2.5 12    0 0 (1.000000000 0.000000000) *
##                         1237) NumVehicles>=2.5 17    5 0 (0.705882353 0.294117647)  
##                           2474) Insurance>=150 16    4 0 (0.750000000 0.250000000)  
##                             4948) ElectricBill< 245 13    2 0 (0.846153846 0.153846154)  
##                               9896) Insurance< 1100 8    0 0 (1.000000000 0.000000000) *
##                               9897) Insurance>=1100 5    2 0 (0.600000000 0.400000000)  
##                                19794) Insurance>=1450 2    0 0 (1.000000000 0.000000000) *
##                                19795) Insurance< 1450 3    1 1 (0.333333333 0.666666667)  
##                                  39590) ElectricBill>=210 1    0 0 (1.000000000 0.000000000) *
##                                  39591) ElectricBill< 210 2    0 1 (0.000000000 1.000000000) *
##                             4949) ElectricBill>=245 3    1 1 (0.333333333 0.666666667)  
##                               9898) Insurance>=1100 1    0 0 (1.000000000 0.000000000) *
##                               9899) Insurance< 1100 2    0 1 (0.000000000 1.000000000) *
##                           2475) Insurance< 150 1    0 1 (0.000000000 1.000000000) *
##                        619) NumWorkers< 1.5 3    1 1 (0.333333333 0.666666667)  
##                         1238) ElectricBill< 185 1    0 0 (1.000000000 0.000000000) *
##                         1239) ElectricBill>=185 2    0 1 (0.000000000 1.000000000) *
##                    155) ElectricBill< 145 26    9 0 (0.653846154 0.346153846)  
##                      310) Insurance< 1450 22    6 0 (0.727272727 0.272727273)  
##                        620) NumChildren>=1.5 10    0 0 (1.000000000 0.000000000) *
##                        621) NumChildren< 1.5 12    6 0 (0.500000000 0.500000000)  
##                         1242) NumChildren< 0.5 6    1 0 (0.833333333 0.166666667)  
##                           2484) Insurance< 900 4    0 0 (1.000000000 0.000000000) *
##                           2485) Insurance>=900 2    1 0 (0.500000000 0.500000000)  
##                             4970) Insurance>=1150 1    0 0 (1.000000000 0.000000000) *
##                             4971) Insurance< 1150 1    0 1 (0.000000000 1.000000000) *
##                         1243) NumChildren>=0.5 6    1 1 (0.166666667 0.833333333)  
##                           2486) Insurance>=1200 1    0 0 (1.000000000 0.000000000) *
##                           2487) Insurance< 1200 5    0 1 (0.000000000 1.000000000) *
##                      311) Insurance>=1450 4    1 1 (0.250000000 0.750000000)  
##                        622) NumBedrooms< 3.5 1    0 0 (1.000000000 0.000000000) *
##                        623) NumBedrooms>=3.5 3    0 1 (0.000000000 1.000000000) *
##                 39) ElectricBill>=285 307   52 0 (0.830618893 0.169381107)  
##                   78) NumPeople>=3.5 221   30 0 (0.864253394 0.135746606)  
##                    156) NumVehicles< 3.5 166   17 0 (0.897590361 0.102409639)  
##                      312) Insurance< 1350 107    6 0 (0.943925234 0.056074766)  
##                        624) NumRooms< 17 105    5 0 (0.952380952 0.047619048)  
##                         1248) NumChildren< 1.5 37    0 0 (1.000000000 0.000000000) *
##                         1249) NumChildren>=1.5 68    5 0 (0.926470588 0.073529412)  
##                           2498) ElectricBill>=295 66    4 0 (0.939393939 0.060606061)  
##                             4996) Insurance>=755 44    1 0 (0.977272727 0.022727273)  
##                               9992) HouseCosts>=2050 36    0 0 (1.000000000 0.000000000) *
##                               9993) HouseCosts< 2050 8    1 0 (0.875000000 0.125000000)  
##                                19986) NumRooms< 9.5 6    0 0 (1.000000000 0.000000000) *
##                                19987) NumRooms>=9.5 2    1 0 (0.500000000 0.500000000)  
##                                  39974) Insurance< 1100 1    0 0 (1.000000000 0.000000000) *
##                                  39975) Insurance>=1100 1    0 1 (0.000000000 1.000000000) *
##                             4997) Insurance< 755 22    3 0 (0.863636364 0.136363636)  
##                               9994) Insurance< 690 21    2 0 (0.904761905 0.095238095)  
##                                19988) ElectricBill< 435 18    1 0 (0.944444444 0.055555556)  
##                                  39976) ElectricBill>=310 12    0 0 (1.000000000 0.000000000) *
##                                  39977) ElectricBill< 310 6    1 0 (0.833333333 0.166666667)  
##                                    79954) NumRooms< 9.5 5    0 0 (1.000000000 0.000000000) *
##                                    79955) NumRooms>=9.5 1    0 1 (0.000000000 1.000000000) *
##                                19989) ElectricBill>=435 3    1 0 (0.666666667 0.333333333)  
##                                  39978) Insurance>=2 2    0 0 (1.000000000 0.000000000) *
##                                  39979) Insurance< 2 1    0 1 (0.000000000 1.000000000) *
##                               9995) Insurance>=690 1    0 1 (0.000000000 1.000000000) *
##                           2499) ElectricBill< 295 2    1 0 (0.500000000 0.500000000)  
##                             4998) Insurance< 900 1    0 0 (1.000000000 0.000000000) *
##                             4999) Insurance>=900 1    0 1 (0.000000000 1.000000000) *
##                        625) NumRooms>=17 2    1 0 (0.500000000 0.500000000)  
##                         1250) ElectricBill< 435 1    0 0 (1.000000000 0.000000000) *
##                         1251) ElectricBill>=435 1    0 1 (0.000000000 1.000000000) *
##                      313) Insurance>=1350 59   11 0 (0.813559322 0.186440678)  
##                        626) NumPeople>=5.5 14    0 0 (1.000000000 0.000000000) *
##                        627) NumPeople< 5.5 45   11 0 (0.755555556 0.244444444)  
##                         1254) HouseCosts>=2350 28    4 0 (0.857142857 0.142857143)  
##                           2508) ElectricBill< 555 26    3 0 (0.884615385 0.115384615)  
##                             5016) HouseCosts>=2950 12    0 0 (1.000000000 0.000000000) *
##                             5017) HouseCosts< 2950 14    3 0 (0.785714286 0.214285714)  
##                              10034) NumVehicles< 2.5 9    1 0 (0.888888889 0.111111111)  
##                                20068) NumBedrooms< 4.5 8    0 0 (1.000000000 0.000000000) *
##                                20069) NumBedrooms>=4.5 1    0 1 (0.000000000 1.000000000) *
##                              10035) NumVehicles>=2.5 5    2 0 (0.600000000 0.400000000)  
##                                20070) NumPeople>=4.5 3    0 0 (1.000000000 0.000000000) *
##                                20071) NumPeople< 4.5 2    0 1 (0.000000000 1.000000000) *
##                           2509) ElectricBill>=555 2    1 0 (0.500000000 0.500000000)  
##                             5018) HouseCosts< 2900 1    0 0 (1.000000000 0.000000000) *
##                             5019) HouseCosts>=2900 1    0 1 (0.000000000 1.000000000) *
##                         1255) HouseCosts< 2350 17    7 0 (0.588235294 0.411764706)  
##                           2510) HouseCosts< 2250 10    2 0 (0.800000000 0.200000000)  
##                             5020) NumRooms< 9.5 9    1 0 (0.888888889 0.111111111)  
##                              10040) NumChildren< 2.5 7    0 0 (1.000000000 0.000000000) *
##                              10041) NumChildren>=2.5 2    1 0 (0.500000000 0.500000000)  
##                                20082) Insurance>=1750 1    0 0 (1.000000000 0.000000000) *
##                                20083) Insurance< 1750 1    0 1 (0.000000000 1.000000000) *
##                             5021) NumRooms>=9.5 1    0 1 (0.000000000 1.000000000) *
##                           2511) HouseCosts>=2250 7    2 1 (0.285714286 0.714285714)  
##                             5022) NumBedrooms< 3.5 1    0 0 (1.000000000 0.000000000) *
##                             5023) NumBedrooms>=3.5 6    1 1 (0.166666667 0.833333333)  
##                              10046) NumBedrooms>=6.5 2    1 0 (0.500000000 0.500000000)  
##                                20092) Insurance< 1550 1    0 0 (1.000000000 0.000000000) *
##                                20093) Insurance>=1550 1    0 1 (0.000000000 1.000000000) *
##                              10047) NumBedrooms< 6.5 4    0 1 (0.000000000 1.000000000) *
##                    157) NumVehicles>=3.5 55   13 0 (0.763636364 0.236363636)  
##                      314) NumPeople>=6.5 9    0 0 (1.000000000 0.000000000) *
##                      315) NumPeople< 6.5 46   13 0 (0.717391304 0.282608696)  
##                        630) NumRooms< 8.5 16    2 0 (0.875000000 0.125000000)  
##                         1260) NumBedrooms>=3.5 15    1 0 (0.933333333 0.066666667)  
##                           2520) ElectricBill< 380 12    0 0 (1.000000000 0.000000000) *
##                           2521) ElectricBill>=380 3    1 0 (0.666666667 0.333333333)  
##                             5042) HouseCosts< 2450 2    0 0 (1.000000000 0.000000000) *
##                             5043) HouseCosts>=2450 1    0 1 (0.000000000 1.000000000) *
##                         1261) NumBedrooms< 3.5 1    0 1 (0.000000000 1.000000000) *
##                        631) NumRooms>=8.5 30   11 0 (0.633333333 0.366666667)  
##                         1262) HouseCosts>=2450 14    3 0 (0.785714286 0.214285714)  
##                           2524) NumChildren< 1.5 9    1 0 (0.888888889 0.111111111)  
##                             5048) Insurance>=950 6    0 0 (1.000000000 0.000000000) *
##                             5049) Insurance< 950 3    1 0 (0.666666667 0.333333333)  
##                              10098) Insurance< 850 2    0 0 (1.000000000 0.000000000) *
##                              10099) Insurance>=850 1    0 1 (0.000000000 1.000000000) *
##                           2525) NumChildren>=1.5 5    2 0 (0.600000000 0.400000000)  
##                             5050) Insurance< 500 2    0 0 (1.000000000 0.000000000) *
##                             5051) Insurance>=500 3    1 1 (0.333333333 0.666666667)  
##                              10102) Insurance>=1150 1    0 0 (1.000000000 0.000000000) *
##                              10103) Insurance< 1150 2    0 1 (0.000000000 1.000000000) *
##                         1263) HouseCosts< 2450 16    8 0 (0.500000000 0.500000000)  
##                           2526) NumWorkers< 2.5 5    1 0 (0.800000000 0.200000000)  
##                             5052) ElectricBill>=330 4    0 0 (1.000000000 0.000000000) *
##                             5053) ElectricBill< 330 1    0 1 (0.000000000 1.000000000) *
##                           2527) NumWorkers>=2.5 11    4 1 (0.363636364 0.636363636)  
##                             5054) Insurance< 1250 8    4 0 (0.500000000 0.500000000)  
##                              10108) ElectricBill< 435 6    2 0 (0.666666667 0.333333333)  
##                                20216) NumPeople< 4.5 3    0 0 (1.000000000 0.000000000) *
##                                20217) NumPeople>=4.5 3    1 1 (0.333333333 0.666666667)  
##                                  40434) ElectricBill>=335 1    0 0 (1.000000000 0.000000000) *
##                                  40435) ElectricBill< 335 2    0 1 (0.000000000 1.000000000) *
##                              10109) ElectricBill>=435 2    0 1 (0.000000000 1.000000000) *
##                             5055) Insurance>=1250 3    0 1 (0.000000000 1.000000000) *
##                   79) NumPeople< 3.5 86   22 0 (0.744186047 0.255813953)  
##                    158) Insurance< 1150 42    6 0 (0.857142857 0.142857143)  
##                      316) HouseCosts< 2800 29    1 0 (0.965517241 0.034482759)  
##                        632) ElectricBill>=295 28    0 0 (1.000000000 0.000000000) *
##                        633) ElectricBill< 295 1    0 1 (0.000000000 1.000000000) *
##                      317) HouseCosts>=2800 13    5 0 (0.615384615 0.384615385)  
##                        634) NumBedrooms< 4.5 11    3 0 (0.727272727 0.272727273)  
##                         1268) NumRooms< 9.5 10    2 0 (0.800000000 0.200000000)  
##                           2536) OwnRent=Mortgage 9    1 0 (0.888888889 0.111111111)  
##                             5072) ElectricBill>=325 7    0 0 (1.000000000 0.000000000) *
##                             5073) ElectricBill< 325 2    1 0 (0.500000000 0.500000000)  
##                              10146) Insurance< 700 1    0 0 (1.000000000 0.000000000) *
##                              10147) Insurance>=700 1    0 1 (0.000000000 1.000000000) *
##                           2537) OwnRent=Rented 1    0 1 (0.000000000 1.000000000) *
##                         1269) NumRooms>=9.5 1    0 1 (0.000000000 1.000000000) *
##                        635) NumBedrooms>=4.5 2    0 1 (0.000000000 1.000000000) *
##                    159) Insurance>=1150 44   16 0 (0.636363636 0.363636364)  
##                      318) NumWorkers< 1.5 8    0 0 (1.000000000 0.000000000) *
##                      319) NumWorkers>=1.5 36   16 0 (0.555555556 0.444444444)  
##                        638) NumChildren>=0.5 8    1 0 (0.875000000 0.125000000)  
##                         1276) HouseCosts>=2250 7    0 0 (1.000000000 0.000000000) *
##                         1277) HouseCosts< 2250 1    0 1 (0.000000000 1.000000000) *
##                        639) NumChildren< 0.5 28   13 1 (0.464285714 0.535714286)  
##                         1278) ElectricBill< 355 14    5 0 (0.642857143 0.357142857)  
##                           2556) ElectricBill>=345 4    0 0 (1.000000000 0.000000000) *
##                           2557) ElectricBill< 345 10    5 0 (0.500000000 0.500000000)  
##                             5114) HouseCosts>=2400 8    3 0 (0.625000000 0.375000000)  
##                              10228) NumBedrooms< 6 7    2 0 (0.714285714 0.285714286)  
##                                20456) NumVehicles< 2.5 4    0 0 (1.000000000 0.000000000) *
##                                20457) NumVehicles>=2.5 3    1 1 (0.333333333 0.666666667)  
##                                  40914) NumBedrooms< 3.5 1    0 0 (1.000000000 0.000000000) *
##                                  40915) NumBedrooms>=3.5 2    0 1 (0.000000000 1.000000000) *
##                              10229) NumBedrooms>=6 1    0 1 (0.000000000 1.000000000) *
##                             5115) HouseCosts< 2400 2    0 1 (0.000000000 1.000000000) *
##                         1279) ElectricBill>=355 14    4 1 (0.285714286 0.714285714)  
##                           2558) FoodStamp=Yes 1    0 0 (1.000000000 0.000000000) *
##                           2559) FoodStamp=No 13    3 1 (0.230769231 0.769230769)  
##                             5118) NumWorkers>=2.5 7    3 1 (0.428571429 0.571428571)  
##                              10236) ElectricBill>=380 5    2 0 (0.600000000 0.400000000)  
##                                20472) Insurance< 1250 2    0 0 (1.000000000 0.000000000) *
##                                20473) Insurance>=1250 3    1 1 (0.333333333 0.666666667)  
##                                  40946) NumRooms>=9.5 1    0 0 (1.000000000 0.000000000) *
##                                  40947) NumRooms< 9.5 2    0 1 (0.000000000 1.000000000) *
##                              10237) ElectricBill< 380 2    0 1 (0.000000000 1.000000000) *
##                             5119) NumWorkers< 2.5 6    0 1 (0.000000000 1.000000000) *
##            5) Insurance>=1950 1424  243 0 (0.829353933 0.170646067)  
##             10) NumRooms< 6.5 367   17 0 (0.953678474 0.046321526)  
##               20) NumVehicles< 3.5 350   14 0 (0.960000000 0.040000000)  
##                 40) HouseCosts< 3250 338   12 0 (0.964497041 0.035502959)  
##                   80) NumRooms< 5.5 154    2 0 (0.987012987 0.012987013)  
##                    160) Insurance< 4350 140    1 0 (0.992857143 0.007142857)  
##                      320) HouseCosts>=1015 117    0 0 (1.000000000 0.000000000) *
##                      321) HouseCosts< 1015 23    1 0 (0.956521739 0.043478261)  
##                        642) HouseCosts< 985 20    0 0 (1.000000000 0.000000000) *
##                        643) HouseCosts>=985 3    1 0 (0.666666667 0.333333333)  
##                         1286) NumBedrooms>=2.5 2    0 0 (1.000000000 0.000000000) *
##                         1287) NumBedrooms< 2.5 1    0 1 (0.000000000 1.000000000) *
##                    161) Insurance>=4350 14    1 0 (0.928571429 0.071428571)  
##                      322) Insurance>=4600 12    0 0 (1.000000000 0.000000000) *
##                      323) Insurance< 4600 2    1 0 (0.500000000 0.500000000)  
##                        646) ElectricBill< 105 1    0 0 (1.000000000 0.000000000) *
##                        647) ElectricBill>=105 1    0 1 (0.000000000 1.000000000) *
##                   81) NumRooms>=5.5 184   10 0 (0.945652174 0.054347826)  
##                    162) ElectricBill< 165 84    2 0 (0.976190476 0.023809524)  
##                      324) NumBedrooms< 3.5 78    1 0 (0.987179487 0.012820513)  
##                        648) NumChildren< 1.5 60    0 0 (1.000000000 0.000000000) *
##                        649) NumChildren>=1.5 18    1 0 (0.944444444 0.055555556)  
##                         1298) ElectricBill< 140 14    0 0 (1.000000000 0.000000000) *
##                         1299) ElectricBill>=140 4    1 0 (0.750000000 0.250000000)  
##                           2598) Insurance>=2300 2    0 0 (1.000000000 0.000000000) *
##                           2599) Insurance< 2300 2    1 0 (0.500000000 0.500000000)  
##                             5198) Insurance< 2050 1    0 0 (1.000000000 0.000000000) *
##                             5199) Insurance>=2050 1    0 1 (0.000000000 1.000000000) *
##                      325) NumBedrooms>=3.5 6    1 0 (0.833333333 0.166666667)  
##                        650) ElectricBill>=110 4    0 0 (1.000000000 0.000000000) *
##                        651) ElectricBill< 110 2    1 0 (0.500000000 0.500000000)  
##                         1302) Insurance< 2750 1    0 0 (1.000000000 0.000000000) *
##                         1303) Insurance>=2750 1    0 1 (0.000000000 1.000000000) *
##                    163) ElectricBill>=165 100    8 0 (0.920000000 0.080000000)  
##                      326) NumPeople>=2.5 65    3 0 (0.953846154 0.046153846)  
##                        652) Insurance>=2150 41    0 0 (1.000000000 0.000000000) *
##                        653) Insurance< 2150 24    3 0 (0.875000000 0.125000000)  
##                         1306) Insurance< 2050 23    2 0 (0.913043478 0.086956522)  
##                           2612) NumChildren< 1.5 16    0 0 (1.000000000 0.000000000) *
##                           2613) NumChildren>=1.5 7    2 0 (0.714285714 0.285714286)  
##                             5226) NumWorkers>=1.5 4    0 0 (1.000000000 0.000000000) *
##                             5227) NumWorkers< 1.5 3    1 1 (0.333333333 0.666666667)  
##                              10454) NumChildren>=2.5 1    0 0 (1.000000000 0.000000000) *
##                              10455) NumChildren< 2.5 2    0 1 (0.000000000 1.000000000) *
##                         1307) Insurance>=2050 1    0 1 (0.000000000 1.000000000) *
##                      327) NumPeople< 2.5 35    5 0 (0.857142857 0.142857143)  
##                        654) ElectricBill>=175 34    4 0 (0.882352941 0.117647059)  
##                         1308) HouseCosts< 1150 13    0 0 (1.000000000 0.000000000) *
##                         1309) HouseCosts>=1150 21    4 0 (0.809523810 0.190476190)  
##                           2618) Insurance< 2350 6    0 0 (1.000000000 0.000000000) *
##                           2619) Insurance>=2350 15    4 0 (0.733333333 0.266666667)  
##                             5238) NumWorkers< 1.5 9    1 0 (0.888888889 0.111111111)  
##                              10476) Insurance< 5300 8    0 0 (1.000000000 0.000000000) *
##                              10477) Insurance>=5300 1    0 1 (0.000000000 1.000000000) *
##                             5239) NumWorkers>=1.5 6    3 0 (0.500000000 0.500000000)  
##                              10478) Insurance>=3650 2    0 0 (1.000000000 0.000000000) *
##                              10479) Insurance< 3650 4    1 1 (0.250000000 0.750000000)  
##                                20958) NumVehicles< 1.5 1    0 0 (1.000000000 0.000000000) *
##                                20959) NumVehicles>=1.5 3    0 1 (0.000000000 1.000000000) *
##                        655) ElectricBill< 175 1    0 1 (0.000000000 1.000000000) *
##                 41) HouseCosts>=3250 12    2 0 (0.833333333 0.166666667)  
##                   82) ElectricBill>=70 11    1 0 (0.909090909 0.090909091)  
##                    164) NumBedrooms< 3.5 10    0 0 (1.000000000 0.000000000) *
##                    165) NumBedrooms>=3.5 1    0 1 (0.000000000 1.000000000) *
##                   83) ElectricBill< 70 1    0 1 (0.000000000 1.000000000) *
##               21) NumVehicles>=3.5 17    3 0 (0.823529412 0.176470588)  
##                 42) NumRooms>=5.5 13    0 0 (1.000000000 0.000000000) *
##                 43) NumRooms< 5.5 4    1 1 (0.250000000 0.750000000)  
##                   86) HouseCosts>=2800 1    0 0 (1.000000000 0.000000000) *
##                   87) HouseCosts< 2800 3    0 1 (0.000000000 1.000000000) *
##             11) NumRooms>=6.5 1057  226 0 (0.786187323 0.213812677)  
##               22) Insurance< 3850 878  160 0 (0.817767654 0.182232346)  
##                 44) NumVehicles< 2.5 555   83 0 (0.850450450 0.149549550)  
##                   88) NumChildren< 1.5 356   42 0 (0.882022472 0.117977528)  
##                    176) ElectricBill>=40 354   40 0 (0.887005650 0.112994350)  
##                      352) ElectricBill< 245 224   16 0 (0.928571429 0.071428571)  
##                        704) HouseCosts< 3150 209   13 0 (0.937799043 0.062200957)  
##                         1408) Insurance< 2650 148    6 0 (0.959459459 0.040540541)  
##                           2816) HouseCosts>=75 145    5 0 (0.965517241 0.034482759)  
##                             5632) HouseCosts< 2950 139    4 0 (0.971223022 0.028776978)  
##                              11264) NumChildren< 0.5 115    2 0 (0.982608696 0.017391304)  
##                                22528) HouseCosts< 2050 92    0 0 (1.000000000 0.000000000) *
##                                22529) HouseCosts>=2050 23    2 0 (0.913043478 0.086956522)  
##                                  45058) HouseCosts>=2150 20    0 0 (1.000000000 0.000000000) *
##                                  45059) HouseCosts< 2150 3    1 1 (0.333333333 0.666666667)  
##                                    90118) Insurance>=2100 1    0 0 (1.000000000 0.000000000) *
##                                    90119) Insurance< 2100 2    0 1 (0.000000000 1.000000000) *
##                              11265) NumChildren>=0.5 24    2 0 (0.916666667 0.083333333)  
##                                22530) Insurance< 2450 22    1 0 (0.954545455 0.045454545)  
##                                  45060) NumPeople< 3.5 18    0 0 (1.000000000 0.000000000) *
##                                  45061) NumPeople>=3.5 4    1 0 (0.750000000 0.250000000)  
##                                    90122) HouseCosts>=1250 3    0 0 (1.000000000 0.000000000) *
##                                    90123) HouseCosts< 1250 1    0 1 (0.000000000 1.000000000) *
##                                22531) Insurance>=2450 2    1 0 (0.500000000 0.500000000)  
##                                  45062) ElectricBill>=110 1    0 0 (1.000000000 0.000000000) *
##                                  45063) ElectricBill< 110 1    0 1 (0.000000000 1.000000000) *
##                             5633) HouseCosts>=2950 6    1 0 (0.833333333 0.166666667)  
##                              11266) ElectricBill>=140 4    0 0 (1.000000000 0.000000000) *
##                              11267) ElectricBill< 140 2    1 0 (0.500000000 0.500000000)  
##                                22534) Insurance< 2250 1    0 0 (1.000000000 0.000000000) *
##                                22535) Insurance>=2250 1    0 1 (0.000000000 1.000000000) *
##                           2817) HouseCosts< 75 3    1 0 (0.666666667 0.333333333)  
##                             5634) Insurance< 2150 2    0 0 (1.000000000 0.000000000) *
##                             5635) Insurance>=2150 1    0 1 (0.000000000 1.000000000) *
##                         1409) Insurance>=2650 61    7 0 (0.885245902 0.114754098)  
##                           2818) NumVehicles>=0.5 59    6 0 (0.898305085 0.101694915)  
##                             5636) HouseCosts< 1850 27    1 0 (0.962962963 0.037037037)  
##                              11272) NumRooms>=7.5 21    0 0 (1.000000000 0.000000000) *
##                              11273) NumRooms< 7.5 6    1 0 (0.833333333 0.166666667)  
##                                22546) ElectricBill>=115 4    0 0 (1.000000000 0.000000000) *
##                                22547) ElectricBill< 115 2    1 0 (0.500000000 0.500000000)  
##                                  45094) Insurance>=3350 1    0 0 (1.000000000 0.000000000) *
##                                  45095) Insurance< 3350 1    0 1 (0.000000000 1.000000000) *
##                             5637) HouseCosts>=1850 32    5 0 (0.843750000 0.156250000)  
##                              11274) HouseCosts>=2250 24    2 0 (0.916666667 0.083333333)  
##                                22548) Insurance>=2750 22    1 0 (0.954545455 0.045454545)  
##                                  45096) Insurance< 3450 16    0 0 (1.000000000 0.000000000) *
##                                  45097) Insurance>=3450 6    1 0 (0.833333333 0.166666667)  
##                                    90194) NumRooms>=7.5 5    0 0 (1.000000000 0.000000000) *
##                                    90195) NumRooms< 7.5 1    0 1 (0.000000000 1.000000000) *
##                                22549) Insurance< 2750 2    1 0 (0.500000000 0.500000000)  
##                                  45098) ElectricBill< 185 1    0 0 (1.000000000 0.000000000) *
##                                  45099) ElectricBill>=185 1    0 1 (0.000000000 1.000000000) *
##                              11275) HouseCosts< 2250 8    3 0 (0.625000000 0.375000000)  
##                                22550) NumRooms>=8.5 3    0 0 (1.000000000 0.000000000) *
##                                22551) NumRooms< 8.5 5    2 1 (0.400000000 0.600000000)  
##                                  45102) ElectricBill>=140 3    1 0 (0.666666667 0.333333333)  
##                                    90204) ElectricBill< 175 2    0 0 (1.000000000 0.000000000) *
##                                    90205) ElectricBill>=175 1    0 1 (0.000000000 1.000000000) *
##                                  45103) ElectricBill< 140 2    0 1 (0.000000000 1.000000000) *
##                           2819) NumVehicles< 0.5 2    1 0 (0.500000000 0.500000000)  
##                             5638) Insurance< 3200 1    0 0 (1.000000000 0.000000000) *
##                             5639) Insurance>=3200 1    0 1 (0.000000000 1.000000000) *
##                        705) HouseCosts>=3150 15    3 0 (0.800000000 0.200000000)  
##                         1410) NumRooms< 10.5 13    1 0 (0.923076923 0.076923077)  
##                           2820) Insurance< 3050 11    0 0 (1.000000000 0.000000000) *
##                           2821) Insurance>=3050 2    1 0 (0.500000000 0.500000000)  
##                             5642) ElectricBill>=160 1    0 0 (1.000000000 0.000000000) *
##                             5643) ElectricBill< 160 1    0 1 (0.000000000 1.000000000) *
##                         1411) NumRooms>=10.5 2    0 1 (0.000000000 1.000000000) *
##                      353) ElectricBill>=245 130   24 0 (0.815384615 0.184615385)  
##                        706) HouseCosts>=260 125   21 0 (0.832000000 0.168000000)  
##                         1412) ElectricBill< 540 122   19 0 (0.844262295 0.155737705)  
##                           2824) NumVehicles< 1.5 21    0 0 (1.000000000 0.000000000) *
##                           2825) NumVehicles>=1.5 101   19 0 (0.811881188 0.188118812)  
##                             5650) HouseCosts< 1150 14    0 0 (1.000000000 0.000000000) *
##                             5651) HouseCosts>=1150 87   19 0 (0.781609195 0.218390805)  
##                              11302) HouseCosts>=2450 36    4 0 (0.888888889 0.111111111)  
##                                22604) HouseCosts< 3250 30    2 0 (0.933333333 0.066666667)  
##                                  45208) NumWorkers>=1.5 21    0 0 (1.000000000 0.000000000) *
##                                  45209) NumWorkers< 1.5 9    2 0 (0.777777778 0.222222222)  
##                                    90418) NumChildren< 0.5 8    1 0 (0.875000000 0.125000000)  
##                                     180836) ElectricBill>=310 4    0 0 (1.000000000 0.000000000) *
##                                     180837) ElectricBill< 310 4    1 0 (0.750000000 0.250000000)  
##                                       361674) HouseCosts>=2900 3    0 0 (1.000000000 0.000000000) *
##                                       361675) HouseCosts< 2900 1    0 1 (0.000000000 1.000000000) *
##                                    90419) NumChildren>=0.5 1    0 1 (0.000000000 1.000000000) *
##                                22605) HouseCosts>=3250 6    2 0 (0.666666667 0.333333333)  
##                                  45210) Insurance< 3100 5    1 0 (0.800000000 0.200000000)  
##                                    90420) Insurance>=2150 3    0 0 (1.000000000 0.000000000) *
##                                    90421) Insurance< 2150 2    1 0 (0.500000000 0.500000000)  
##                                     180842) ElectricBill< 340 1    0 0 (1.000000000 0.000000000) *
##                                     180843) ElectricBill>=340 1    0 1 (0.000000000 1.000000000) *
##                                  45211) Insurance>=3100 1    0 1 (0.000000000 1.000000000) *
##                              11303) HouseCosts< 2450 51   15 0 (0.705882353 0.294117647)  
##                                22606) Insurance>=2900 21    3 0 (0.857142857 0.142857143)  
##                                  45212) ElectricBill< 395 18    1 0 (0.944444444 0.055555556)  
##                                    90424) ElectricBill< 345 11    0 0 (1.000000000 0.000000000) *
##                                    90425) ElectricBill>=345 7    1 0 (0.857142857 0.142857143)  
##                                     180850) NumPeople>=2.5 6    0 0 (1.000000000 0.000000000) *
##                                     180851) NumPeople< 2.5 1    0 1 (0.000000000 1.000000000) *
##                                  45213) ElectricBill>=395 3    1 1 (0.333333333 0.666666667)  
##                                    90426) ElectricBill>=475 1    0 0 (1.000000000 0.000000000) *
##                                    90427) ElectricBill< 475 2    0 1 (0.000000000 1.000000000) *
##                                22607) Insurance< 2900 30   12 0 (0.600000000 0.400000000)  
##                                  45214) NumPeople>=4.5 3    0 0 (1.000000000 0.000000000) *
##                                  45215) NumPeople< 4.5 27   12 0 (0.555555556 0.444444444)  
##                                    90430) HouseCosts< 1950 16    5 0 (0.687500000 0.312500000)  
##                                     180860) NumRooms< 10.5 12    2 0 (0.833333333 0.166666667)  
##                                       361720) ElectricBill>=255 10    1 0 (0.900000000 0.100000000)  
##                                         723440) HouseCosts>=1450 7    0 0 (1.000000000 0.000000000) *
##                                         723441) HouseCosts< 1450 3    1 0 (0.666666667 0.333333333)  
##                                          1446882) NumBedrooms>=3.5 2    0 0 (1.000000000 0.000000000) *
##                                          1446883) NumBedrooms< 3.5 1    0 1 (0.000000000 1.000000000) *
##                                       361721) ElectricBill< 255 2    1 0 (0.500000000 0.500000000)  
##                                         723442) Insurance< 2050 1    0 0 (1.000000000 0.000000000) *
##                                         723443) Insurance>=2050 1    0 1 (0.000000000 1.000000000) *
##                                     180861) NumRooms>=10.5 4    1 1 (0.250000000 0.750000000)  
##                                       361722) HouseCosts>=1750 1    0 0 (1.000000000 0.000000000) *
##                                       361723) HouseCosts< 1750 3    0 1 (0.000000000 1.000000000) *
##                                    90431) HouseCosts>=1950 11    4 1 (0.363636364 0.636363636)  
##                                     180862) NumRooms>=9.5 2    0 0 (1.000000000 0.000000000) *
##                                     180863) NumRooms< 9.5 9    2 1 (0.222222222 0.777777778)  
##                                       361726) NumRooms< 7.5 3    1 0 (0.666666667 0.333333333)  
##                                         723452) Insurance>=2050 1    0 0 (1.000000000 0.000000000) *
##                                         723453) Insurance< 2050 2    1 0 (0.500000000 0.500000000)  
##                                          1446906) ElectricBill>=315 1    0 0 (1.000000000 0.000000000) *
##                                          1446907) ElectricBill< 315 1    0 1 (0.000000000 1.000000000) *
##                                       361727) NumRooms>=7.5 6    0 1 (0.000000000 1.000000000) *
##                         1413) ElectricBill>=540 3    1 1 (0.333333333 0.666666667)  
##                           2826) Insurance>=2800 1    0 0 (1.000000000 0.000000000) *
##                           2827) Insurance< 2800 2    0 1 (0.000000000 1.000000000) *
##                        707) HouseCosts< 260 5    2 1 (0.400000000 0.600000000)  
##                         1414) HouseCosts< 210 3    1 0 (0.666666667 0.333333333)  
##                           2828) ElectricBill< 350 2    0 0 (1.000000000 0.000000000) *
##                           2829) ElectricBill>=350 1    0 1 (0.000000000 1.000000000) *
##                         1415) HouseCosts>=210 2    0 1 (0.000000000 1.000000000) *
##                    177) ElectricBill< 40 2    0 1 (0.000000000 1.000000000) *
##                   89) NumChildren>=1.5 199   41 0 (0.793969849 0.206030151)  
##                    178) NumRooms< 8.5 101   14 0 (0.861386139 0.138613861)  
##                      356) Insurance>=2350 47    2 0 (0.957446809 0.042553191)  
##                        712) ElectricBill< 245 22    0 0 (1.000000000 0.000000000) *
##                        713) ElectricBill>=245 25    2 0 (0.920000000 0.080000000)  
##                         1426) ElectricBill>=255 21    1 0 (0.952380952 0.047619048)  
##                           2852) Insurance>=2650 15    0 0 (1.000000000 0.000000000) *
##                           2853) Insurance< 2650 6    1 0 (0.833333333 0.166666667)  
##                             5706) NumBedrooms>=3.5 5    0 0 (1.000000000 0.000000000) *
##                             5707) NumBedrooms< 3.5 1    0 1 (0.000000000 1.000000000) *
##                         1427) ElectricBill< 255 4    1 0 (0.750000000 0.250000000)  
##                           2854) Insurance< 2750 3    0 0 (1.000000000 0.000000000) *
##                           2855) Insurance>=2750 1    0 1 (0.000000000 1.000000000) *
##                      357) Insurance< 2350 54   12 0 (0.777777778 0.222222222)  
##                        714) HouseCosts>=1550 44    7 0 (0.840909091 0.159090909)  
##                         1428) NumBedrooms>=3.5 31    2 0 (0.935483871 0.064516129)  
##                           2856) NumWorkers>=1.5 24    0 0 (1.000000000 0.000000000) *
##                           2857) NumWorkers< 1.5 7    2 0 (0.714285714 0.285714286)  
##                             5714) HouseCosts>=2650 3    0 0 (1.000000000 0.000000000) *
##                             5715) HouseCosts< 2650 4    2 0 (0.500000000 0.500000000)  
##                              11430) Insurance< 2150 3    1 0 (0.666666667 0.333333333)  
##                                22860) HouseCosts< 2350 2    0 0 (1.000000000 0.000000000) *
##                                22861) HouseCosts>=2350 1    0 1 (0.000000000 1.000000000) *
##                              11431) Insurance>=2150 1    0 1 (0.000000000 1.000000000) *
##                         1429) NumBedrooms< 3.5 13    5 0 (0.615384615 0.384615385)  
##                           2858) HouseCosts< 2450 6    1 0 (0.833333333 0.166666667)  
##                             5716) ElectricBill< 195 3    0 0 (1.000000000 0.000000000) *
##                             5717) ElectricBill>=195 3    1 0 (0.666666667 0.333333333)  
##                              11434) ElectricBill>=220 2    0 0 (1.000000000 0.000000000) *
##                              11435) ElectricBill< 220 1    0 1 (0.000000000 1.000000000) *
##                           2859) HouseCosts>=2450 7    3 1 (0.428571429 0.571428571)  
##                             5718) HouseCosts>=2750 5    2 0 (0.600000000 0.400000000)  
##                              11436) Insurance< 2150 4    1 0 (0.750000000 0.250000000)  
##                                22872) NumRooms< 7.5 3    0 0 (1.000000000 0.000000000) *
##                                22873) NumRooms>=7.5 1    0 1 (0.000000000 1.000000000) *
##                              11437) Insurance>=2150 1    0 1 (0.000000000 1.000000000) *
##                             5719) HouseCosts< 2750 2    0 1 (0.000000000 1.000000000) *
##                        715) HouseCosts< 1550 10    5 0 (0.500000000 0.500000000)  
##                         1430) ElectricBill>=255 3    0 0 (1.000000000 0.000000000) *
##                         1431) ElectricBill< 255 7    2 1 (0.285714286 0.714285714)  
##                           2862) HouseCosts< 1035 1    0 0 (1.000000000 0.000000000) *
##                           2863) HouseCosts>=1035 6    1 1 (0.166666667 0.833333333)  
##                             5726) ElectricBill< 125 2    1 0 (0.500000000 0.500000000)  
##                              11452) NumBedrooms>=3.5 1    0 0 (1.000000000 0.000000000) *
##                              11453) NumBedrooms< 3.5 1    0 1 (0.000000000 1.000000000) *
##                             5727) ElectricBill>=125 4    0 1 (0.000000000 1.000000000) *
##                    179) NumRooms>=8.5 98   27 0 (0.724489796 0.275510204)  
##                      358) Insurance>=3150 9    0 0 (1.000000000 0.000000000) *
##                      359) Insurance< 3150 89   27 0 (0.696629213 0.303370787)  
##                        718) NumWorkers< 2.5 87   25 0 (0.712643678 0.287356322)  
##                         1436) Insurance< 2950 78   20 0 (0.743589744 0.256410256)  
##                           2872) NumChildren< 4.5 77   19 0 (0.753246753 0.246753247)  
##                             5744) NumPeople>=5.5 11    0 0 (1.000000000 0.000000000) *
##                             5745) NumPeople< 5.5 66   19 0 (0.712121212 0.287878788)  
##                              11490) NumPeople< 4.5 41    8 0 (0.804878049 0.195121951)  
##                                22980) ElectricBill>=155 28    3 0 (0.892857143 0.107142857)  
##                                  45960) HouseCosts>=2050 15    0 0 (1.000000000 0.000000000) *
##                                  45961) HouseCosts< 2050 13    3 0 (0.769230769 0.230769231)  
##                                    91922) HouseCosts< 1500 7    0 0 (1.000000000 0.000000000) *
##                                    91923) HouseCosts>=1500 6    3 0 (0.500000000 0.500000000)  
##                                     183846) Insurance< 2100 2    0 0 (1.000000000 0.000000000) *
##                                     183847) Insurance>=2100 4    1 1 (0.250000000 0.750000000)  
##                                       367694) Insurance>=2500 1    0 0 (1.000000000 0.000000000) *
##                                       367695) Insurance< 2500 3    0 1 (0.000000000 1.000000000) *
##                                22981) ElectricBill< 155 13    5 0 (0.615384615 0.384615385)  
##                                  45962) Insurance< 2150 11    3 0 (0.727272727 0.272727273)  
##                                    91924) HouseCosts< 3000 10    2 0 (0.800000000 0.200000000)  
##                                     183848) HouseCosts>=2150 5    0 0 (1.000000000 0.000000000) *
##                                     183849) HouseCosts< 2150 5    2 0 (0.600000000 0.400000000)  
##                                       367698) HouseCosts< 1600 3    0 0 (1.000000000 0.000000000) *
##                                       367699) HouseCosts>=1600 2    0 1 (0.000000000 1.000000000) *
##                                    91925) HouseCosts>=3000 1    0 1 (0.000000000 1.000000000) *
##                                  45963) Insurance>=2150 2    0 1 (0.000000000 1.000000000) *
##                              11491) NumPeople>=4.5 25   11 0 (0.560000000 0.440000000)  
##                                22982) ElectricBill< 360 20    7 0 (0.650000000 0.350000000)  
##                                  45964) HouseCosts>=2550 8    1 0 (0.875000000 0.125000000)  
##                                    91928) NumRooms< 11 6    0 0 (1.000000000 0.000000000) *
##                                    91929) NumRooms>=11 2    1 0 (0.500000000 0.500000000)  
##                                     183858) Insurance< 2200 1    0 0 (1.000000000 0.000000000) *
##                                     183859) Insurance>=2200 1    0 1 (0.000000000 1.000000000) *
##                                  45965) HouseCosts< 2550 12    6 0 (0.500000000 0.500000000)  
##                                    91930) HouseCosts< 1950 6    1 0 (0.833333333 0.166666667)  
##                                     183860) Insurance< 2300 5    0 0 (1.000000000 0.000000000) *
##                                     183861) Insurance>=2300 1    0 1 (0.000000000 1.000000000) *
##                                    91931) HouseCosts>=1950 6    1 1 (0.166666667 0.833333333)  
##                                     183862) NumRooms>=12 1    0 0 (1.000000000 0.000000000) *
##                                     183863) NumRooms< 12 5    0 1 (0.000000000 1.000000000) *
##                                22983) ElectricBill>=360 5    1 1 (0.200000000 0.800000000)  
##                                  45966) Insurance>=2550 1    0 0 (1.000000000 0.000000000) *
##                                  45967) Insurance< 2550 4    0 1 (0.000000000 1.000000000) *
##                           2873) NumChildren>=4.5 1    0 1 (0.000000000 1.000000000) *
##                         1437) Insurance>=2950 9    4 1 (0.444444444 0.555555556)  
##                           2874) ElectricBill< 395 7    3 0 (0.571428571 0.428571429)  
##                             5748) NumChildren>=2.5 3    0 0 (1.000000000 0.000000000) *
##                             5749) NumChildren< 2.5 4    1 1 (0.250000000 0.750000000)  
##                              11498) ElectricBill>=370 1    0 0 (1.000000000 0.000000000) *
##                              11499) ElectricBill< 370 3    0 1 (0.000000000 1.000000000) *
##                           2875) ElectricBill>=395 2    0 1 (0.000000000 1.000000000) *
##                        719) NumWorkers>=2.5 2    0 1 (0.000000000 1.000000000) *
##                 45) NumVehicles>=2.5 323   77 0 (0.761609907 0.238390093)  
##                   90) NumPeople>=2.5 275   58 0 (0.789090909 0.210909091)  
##                    180) HouseCosts< 2950 235   43 0 (0.817021277 0.182978723)  
##                      360) NumBedrooms< 4.5 170   22 0 (0.870588235 0.129411765)  
##                        720) Insurance< 3700 169   21 0 (0.875739645 0.124260355)  
##                         1440) ElectricBill< 365 150   16 0 (0.893333333 0.106666667)  
##                           2880) NumVehicles< 3.5 90    6 0 (0.933333333 0.066666667)  
##                             5760) ElectricBill< 220 50    1 0 (0.980000000 0.020000000)  
##                              11520) NumRooms< 10.5 47    0 0 (1.000000000 0.000000000) *
##                              11521) NumRooms>=10.5 3    1 0 (0.666666667 0.333333333)  
##                                23042) Insurance>=2200 2    0 0 (1.000000000 0.000000000) *
##                                23043) Insurance< 2200 1    0 1 (0.000000000 1.000000000) *
##                             5761) ElectricBill>=220 40    5 0 (0.875000000 0.125000000)  
##                              11522) HouseCosts>=1050 33    3 0 (0.909090909 0.090909091)  
##                                23044) ElectricBill>=265 18    0 0 (1.000000000 0.000000000) *
##                                23045) ElectricBill< 265 15    3 0 (0.800000000 0.200000000)  
##                                  46090) NumChildren< 2.5 14    2 0 (0.857142857 0.142857143)  
##                                    92180) HouseCosts< 2400 10    0 0 (1.000000000 0.000000000) *
##                                    92181) HouseCosts>=2400 4    2 0 (0.500000000 0.500000000)  
##                                     184362) Insurance>=2100 3    1 0 (0.666666667 0.333333333)  
##                                       368724) HouseCosts>=2550 2    0 0 (1.000000000 0.000000000) *
##                                       368725) HouseCosts< 2550 1    0 1 (0.000000000 1.000000000) *
##                                     184363) Insurance< 2100 1    0 1 (0.000000000 1.000000000) *
##                                  46091) NumChildren>=2.5 1    0 1 (0.000000000 1.000000000) *
##                              11523) HouseCosts< 1050 7    2 0 (0.714285714 0.285714286)  
##                                23046) HouseCosts< 925 5    0 0 (1.000000000 0.000000000) *
##                                23047) HouseCosts>=925 2    0 1 (0.000000000 1.000000000) *
##                           2881) NumVehicles>=3.5 60   10 0 (0.833333333 0.166666667)  
##                             5762) ElectricBill>=145 49    5 0 (0.897959184 0.102040816)  
##                              11524) ElectricBill< 230 25    1 0 (0.960000000 0.040000000)  
##                                23048) HouseCosts>=1350 17    0 0 (1.000000000 0.000000000) *
##                                23049) HouseCosts< 1350 8    1 0 (0.875000000 0.125000000)  
##                                  46098) NumBedrooms>=3.5 7    0 0 (1.000000000 0.000000000) *
##                                  46099) NumBedrooms< 3.5 1    0 1 (0.000000000 1.000000000) *
##                              11525) ElectricBill>=230 24    4 0 (0.833333333 0.166666667)  
##                                23050) ElectricBill>=245 23    3 0 (0.869565217 0.130434783)  
##                                  46100) NumPeople>=3.5 19    1 0 (0.947368421 0.052631579)  
##                                    92200) ElectricBill>=255 17    0 0 (1.000000000 0.000000000) *
##                                    92201) ElectricBill< 255 2    1 0 (0.500000000 0.500000000)  
##                                     184402) Insurance< 2650 1    0 0 (1.000000000 0.000000000) *
##                                     184403) Insurance>=2650 1    0 1 (0.000000000 1.000000000) *
##                                  46101) NumPeople< 3.5 4    2 0 (0.500000000 0.500000000)  
##                                    92202) Insurance>=2500 3    1 0 (0.666666667 0.333333333)  
##                                     184404) ElectricBill< 285 1    0 0 (1.000000000 0.000000000) *
##                                     184405) ElectricBill>=285 2    1 0 (0.500000000 0.500000000)  
##                                       368810) ElectricBill>=335 1    0 0 (1.000000000 0.000000000) *
##                                       368811) ElectricBill< 335 1    0 1 (0.000000000 1.000000000) *
##                                    92203) Insurance< 2500 1    0 1 (0.000000000 1.000000000) *
##                                23051) ElectricBill< 245 1    0 1 (0.000000000 1.000000000) *
##                             5763) ElectricBill< 145 11    5 0 (0.545454545 0.454545455)  
##                              11526) Insurance>=2700 3    0 0 (1.000000000 0.000000000) *
##                              11527) Insurance< 2700 8    3 1 (0.375000000 0.625000000)  
##                                23054) NumRooms< 7.5 2    0 0 (1.000000000 0.000000000) *
##                                23055) NumRooms>=7.5 6    1 1 (0.166666667 0.833333333)  
##                                  46110) ElectricBill< 110 2    1 0 (0.500000000 0.500000000)  
##                                    92220) HouseCosts>=805 1    0 0 (1.000000000 0.000000000) *
##                                    92221) HouseCosts< 805 1    0 1 (0.000000000 1.000000000) *
##                                  46111) ElectricBill>=110 4    0 1 (0.000000000 1.000000000) *
##                         1441) ElectricBill>=365 19    5 0 (0.736842105 0.263157895)  
##                           2882) NumPeople>=4.5 8    0 0 (1.000000000 0.000000000) *
##                           2883) NumPeople< 4.5 11    5 0 (0.545454545 0.454545455)  
##                             5766) NumBedrooms< 3.5 4    0 0 (1.000000000 0.000000000) *
##                             5767) NumBedrooms>=3.5 7    2 1 (0.285714286 0.714285714)  
##                              11534) HouseCosts< 725 1    0 0 (1.000000000 0.000000000) *
##                              11535) HouseCosts>=725 6    1 1 (0.166666667 0.833333333)  
##                                23070) HouseCosts>=2500 1    0 0 (1.000000000 0.000000000) *
##                                23071) HouseCosts< 2500 5    0 1 (0.000000000 1.000000000) *
##                        721) Insurance>=3700 1    0 1 (0.000000000 1.000000000) *
##                      361) NumBedrooms>=4.5 65   21 0 (0.676923077 0.323076923)  
##                        722) Insurance< 2450 34    6 0 (0.823529412 0.176470588)  
##                         1444) HouseCosts>=815 30    3 0 (0.900000000 0.100000000)  
##                           2888) ElectricBill>=110 29    2 0 (0.931034483 0.068965517)  
##                             5776) HouseCosts< 2750 28    1 0 (0.964285714 0.035714286)  
##                              11552) HouseCosts>=1550 23    0 0 (1.000000000 0.000000000) *
##                              11553) HouseCosts< 1550 5    1 0 (0.800000000 0.200000000)  
##                                23106) Insurance< 2150 3    0 0 (1.000000000 0.000000000) *
##                                23107) Insurance>=2150 2    1 0 (0.500000000 0.500000000)  
##                                  46214) Insurance>=2250 1    0 0 (1.000000000 0.000000000) *
##                                  46215) Insurance< 2250 1    0 1 (0.000000000 1.000000000) *
##                             5777) HouseCosts>=2750 1    0 1 (0.000000000 1.000000000) *
##                           2889) ElectricBill< 110 1    0 1 (0.000000000 1.000000000) *
##                         1445) HouseCosts< 815 4    1 1 (0.250000000 0.750000000)  
##                           2890) Insurance>=2150 1    0 0 (1.000000000 0.000000000) *
##                           2891) Insurance< 2150 3    0 1 (0.000000000 1.000000000) *
##                        723) Insurance>=2450 31   15 0 (0.516129032 0.483870968)  
##                         1446) HouseCosts< 1450 12    2 0 (0.833333333 0.166666667)  
##                           2892) ElectricBill>=170 11    1 0 (0.909090909 0.090909091)  
##                             5784) HouseCosts>=445 9    0 0 (1.000000000 0.000000000) *
##                             5785) HouseCosts< 445 2    1 0 (0.500000000 0.500000000)  
##                              11570) Insurance< 2750 1    0 0 (1.000000000 0.000000000) *
##                              11571) Insurance>=2750 1    0 1 (0.000000000 1.000000000) *
##                           2893) ElectricBill< 170 1    0 1 (0.000000000 1.000000000) *
##                         1447) HouseCosts>=1450 19    6 1 (0.315789474 0.684210526)  
##                           2894) NumPeople>=4.5 11    5 0 (0.545454545 0.454545455)  
##                             5788) NumVehicles< 4.5 8    2 0 (0.750000000 0.250000000)  
##                              11576) Insurance>=2700 5    0 0 (1.000000000 0.000000000) *
##                              11577) Insurance< 2700 3    1 1 (0.333333333 0.666666667)  
##                                23154) Insurance< 2550 1    0 0 (1.000000000 0.000000000) *
##                                23155) Insurance>=2550 2    0 1 (0.000000000 1.000000000) *
##                             5789) NumVehicles>=4.5 3    0 1 (0.000000000 1.000000000) *
##                           2895) NumPeople< 4.5 8    0 1 (0.000000000 1.000000000) *
##                    181) HouseCosts>=2950 40   15 0 (0.625000000 0.375000000)  
##                      362) HouseCosts>=3250 10    1 0 (0.900000000 0.100000000)  
##                        724) ElectricBill< 360 8    0 0 (1.000000000 0.000000000) *
##                        725) ElectricBill>=360 2    1 0 (0.500000000 0.500000000)  
##                         1450) Insurance>=2300 1    0 0 (1.000000000 0.000000000) *
##                         1451) Insurance< 2300 1    0 1 (0.000000000 1.000000000) *
##                      363) HouseCosts< 3250 30   14 0 (0.533333333 0.466666667)  
##                        726) NumBedrooms>=6.5 4    0 0 (1.000000000 0.000000000) *
##                        727) NumBedrooms< 6.5 26   12 1 (0.461538462 0.538461538)  
##                         1454) HouseCosts< 3050 19    8 0 (0.578947368 0.421052632)  
##                           2908) NumChildren< 0.5 7    1 0 (0.857142857 0.142857143)  
##                             5816) NumWorkers>=1.5 6    0 0 (1.000000000 0.000000000) *
##                             5817) NumWorkers< 1.5 1    0 1 (0.000000000 1.000000000) *
##                           2909) NumChildren>=0.5 12    5 1 (0.416666667 0.583333333)  
##                             5818) ElectricBill< 125 2    0 0 (1.000000000 0.000000000) *
##                             5819) ElectricBill>=125 10    3 1 (0.300000000 0.700000000)  
##                              11638) ElectricBill>=295 5    2 0 (0.600000000 0.400000000)  
##                                23276) Insurance< 2750 3    0 0 (1.000000000 0.000000000) *
##                                23277) Insurance>=2750 2    0 1 (0.000000000 1.000000000) *
##                              11639) ElectricBill< 295 5    0 1 (0.000000000 1.000000000) *
##                         1455) HouseCosts>=3050 7    1 1 (0.142857143 0.857142857)  
##                           2910) ElectricBill< 175 1    0 0 (1.000000000 0.000000000) *
##                           2911) ElectricBill>=175 6    0 1 (0.000000000 1.000000000) *
##                   91) NumPeople< 2.5 48   19 0 (0.604166667 0.395833333)  
##                    182) NumVehicles>=3.5 8    0 0 (1.000000000 0.000000000) *
##                    183) NumVehicles< 3.5 40   19 0 (0.525000000 0.475000000)  
##                      366) NumBedrooms< 6.5 37   16 0 (0.567567568 0.432432432)  
##                        732) NumRooms>=7.5 27    9 0 (0.666666667 0.333333333)  
##                         1464) NumRooms< 8.5 14    2 0 (0.857142857 0.142857143)  
##                           2928) ElectricBill>=46 13    1 0 (0.923076923 0.076923077)  
##                             5856) ElectricBill< 280 10    0 0 (1.000000000 0.000000000) *
##                             5857) ElectricBill>=280 3    1 0 (0.666666667 0.333333333)  
##                              11714) ElectricBill>=325 2    0 0 (1.000000000 0.000000000) *
##                              11715) ElectricBill< 325 1    0 1 (0.000000000 1.000000000) *
##                           2929) ElectricBill< 46 1    0 1 (0.000000000 1.000000000) *
##                         1465) NumRooms>=8.5 13    6 1 (0.461538462 0.538461538)  
##                           2930) NumBedrooms>=4.5 5    1 0 (0.800000000 0.200000000)  
##                             5860) Insurance>=2050 4    0 0 (1.000000000 0.000000000) *
##                             5861) Insurance< 2050 1    0 1 (0.000000000 1.000000000) *
##                           2931) NumBedrooms< 4.5 8    2 1 (0.250000000 0.750000000)  
##                             5862) Insurance< 2100 1    0 0 (1.000000000 0.000000000) *
##                             5863) Insurance>=2100 7    1 1 (0.142857143 0.857142857)  
##                              11726) Insurance>=3250 2    1 0 (0.500000000 0.500000000)  
##                                23452) ElectricBill>=135 1    0 0 (1.000000000 0.000000000) *
##                                23453) ElectricBill< 135 1    0 1 (0.000000000 1.000000000) *
##                              11727) Insurance< 3250 5    0 1 (0.000000000 1.000000000) *
##                        733) NumRooms< 7.5 10    3 1 (0.300000000 0.700000000)  
##                         1466) Insurance< 2450 5    2 0 (0.600000000 0.400000000)  
##                           2932) NumBedrooms< 3.5 3    0 0 (1.000000000 0.000000000) *
##                           2933) NumBedrooms>=3.5 2    0 1 (0.000000000 1.000000000) *
##                         1467) Insurance>=2450 5    0 1 (0.000000000 1.000000000) *
##                      367) NumBedrooms>=6.5 3    0 1 (0.000000000 1.000000000) *
##               23) Insurance>=3850 179   66 0 (0.631284916 0.368715084)  
##                 46) HouseCosts>=350 173   60 0 (0.653179191 0.346820809)  
##                   92) NumRooms< 8.5 84   23 0 (0.726190476 0.273809524)  
##                    184) NumBedrooms< 6.5 82   21 0 (0.743902439 0.256097561)  
##                      368) Insurance< 4250 18    1 0 (0.944444444 0.055555556)  
##                        736) ElectricBill< 340 15    0 0 (1.000000000 0.000000000) *
##                        737) ElectricBill>=340 3    1 0 (0.666666667 0.333333333)  
##                         1474) ElectricBill>=425 2    0 0 (1.000000000 0.000000000) *
##                         1475) ElectricBill< 425 1    0 1 (0.000000000 1.000000000) *
##                      369) Insurance>=4250 64   20 0 (0.687500000 0.312500000)  
##                        738) NumWorkers>=1.5 36    8 0 (0.777777778 0.222222222)  
##                         1476) ElectricBill< 425 32    5 0 (0.843750000 0.156250000)  
##                           2952) HouseCosts>=850 29    3 0 (0.896551724 0.103448276)  
##                             5904) Insurance>=4350 27    2 0 (0.925925926 0.074074074)  
##                              11808) NumBedrooms< 4.5 25    1 0 (0.960000000 0.040000000)  
##                                23616) NumVehicles>=1.5 20    0 0 (1.000000000 0.000000000) *
##                                23617) NumVehicles< 1.5 5    1 0 (0.800000000 0.200000000)  
##                                  47234) Insurance>=5800 4    0 0 (1.000000000 0.000000000) *
##                                  47235) Insurance< 5800 1    0 1 (0.000000000 1.000000000) *
##                              11809) NumBedrooms>=4.5 2    1 0 (0.500000000 0.500000000)  
##                                23618) ElectricBill>=275 1    0 0 (1.000000000 0.000000000) *
##                                23619) ElectricBill< 275 1    0 1 (0.000000000 1.000000000) *
##                             5905) Insurance< 4350 2    1 0 (0.500000000 0.500000000)  
##                              11810) ElectricBill< 305 1    0 0 (1.000000000 0.000000000) *
##                              11811) ElectricBill>=305 1    0 1 (0.000000000 1.000000000) *
##                           2953) HouseCosts< 850 3    1 1 (0.333333333 0.666666667)  
##                             5906) Insurance>=5550 2    1 0 (0.500000000 0.500000000)  
##                              11812) ElectricBill< 240 1    0 0 (1.000000000 0.000000000) *
##                              11813) ElectricBill>=240 1    0 1 (0.000000000 1.000000000) *
##                             5907) Insurance< 5550 1    0 1 (0.000000000 1.000000000) *
##                         1477) ElectricBill>=425 4    1 1 (0.250000000 0.750000000)  
##                           2954) HouseCosts>=2500 1    0 0 (1.000000000 0.000000000) *
##                           2955) HouseCosts< 2500 3    0 1 (0.000000000 1.000000000) *
##                        739) NumWorkers< 1.5 28   12 0 (0.571428571 0.428571429)  
##                         1478) ElectricBill>=485 4    0 0 (1.000000000 0.000000000) *
##                         1479) ElectricBill< 485 24   12 0 (0.500000000 0.500000000)  
##                           2958) HouseCosts< 2700 18    7 0 (0.611111111 0.388888889)  
##                             5916) HouseCosts>=1750 5    0 0 (1.000000000 0.000000000) *
##                             5917) HouseCosts< 1750 13    6 1 (0.461538462 0.538461538)  
##                              11834) HouseCosts< 1350 7    2 0 (0.714285714 0.285714286)  
##                                23668) NumChildren< 1 6    1 0 (0.833333333 0.166666667)  
##                                  47336) ElectricBill>=280 3    0 0 (1.000000000 0.000000000) *
##                                  47337) ElectricBill< 280 3    1 0 (0.666666667 0.333333333)  
##                                    94674) ElectricBill< 235 2    0 0 (1.000000000 0.000000000) *
##                                    94675) ElectricBill>=235 1    0 1 (0.000000000 1.000000000) *
##                                23669) NumChildren>=1 1    0 1 (0.000000000 1.000000000) *
##                              11835) HouseCosts>=1350 6    1 1 (0.166666667 0.833333333)  
##                                23670) ElectricBill>=295 2    1 0 (0.500000000 0.500000000)  
##                                  47340) ElectricBill< 360 1    0 0 (1.000000000 0.000000000) *
##                                  47341) ElectricBill>=360 1    0 1 (0.000000000 1.000000000) *
##                                23671) ElectricBill< 295 4    0 1 (0.000000000 1.000000000) *
##                           2959) HouseCosts>=2700 6    1 1 (0.166666667 0.833333333)  
##                             5918) HouseCosts< 3100 3    1 1 (0.333333333 0.666666667)  
##                              11836) ElectricBill>=195 1    0 0 (1.000000000 0.000000000) *
##                              11837) ElectricBill< 195 2    0 1 (0.000000000 1.000000000) *
##                             5919) HouseCosts>=3100 3    0 1 (0.000000000 1.000000000) *
##                    185) NumBedrooms>=6.5 2    0 1 (0.000000000 1.000000000) *
##                   93) NumRooms>=8.5 89   37 0 (0.584269663 0.415730337)  
##                    186) NumBedrooms>=6.5 18    4 0 (0.777777778 0.222222222)  
##                      372) HouseCosts< 3150 15    2 0 (0.866666667 0.133333333)  
##                        744) NumRooms< 17 7    0 0 (1.000000000 0.000000000) *
##                        745) NumRooms>=17 8    2 0 (0.750000000 0.250000000)  
##                         1490) NumWorkers< 2.5 7    1 0 (0.857142857 0.142857143)  
##                           2980) NumChildren>=0.5 5    0 0 (1.000000000 0.000000000) *
##                           2981) NumChildren< 0.5 2    1 0 (0.500000000 0.500000000)  
##                             5962) Insurance< 5300 1    0 0 (1.000000000 0.000000000) *
##                             5963) Insurance>=5300 1    0 1 (0.000000000 1.000000000) *
##                         1491) NumWorkers>=2.5 1    0 1 (0.000000000 1.000000000) *
##                      373) HouseCosts>=3150 3    1 1 (0.333333333 0.666666667)  
##                        746) Insurance< 4250 1    0 0 (1.000000000 0.000000000) *
##                        747) Insurance>=4250 2    0 1 (0.000000000 1.000000000) *
##                    187) NumBedrooms< 6.5 71   33 0 (0.535211268 0.464788732)  
##                      374) NumPeople>=7.5 2    0 0 (1.000000000 0.000000000) *
##                      375) NumPeople< 7.5 69   33 0 (0.521739130 0.478260870)  
##                        750) NumChildren< 1.5 52   22 0 (0.576923077 0.423076923)  
##                         1500) HouseCosts< 1950 21    6 0 (0.714285714 0.285714286)  
##                           3000) HouseCosts>=955 12    1 0 (0.916666667 0.083333333)  
##                             6000) ElectricBill< 405 10    0 0 (1.000000000 0.000000000) *
##                             6001) ElectricBill>=405 2    1 0 (0.500000000 0.500000000)  
##                              12002) Insurance< 5300 1    0 0 (1.000000000 0.000000000) *
##                              12003) Insurance>=5300 1    0 1 (0.000000000 1.000000000) *
##                           3001) HouseCosts< 955 9    4 1 (0.444444444 0.555555556)  
##                             6002) HouseCosts< 725 5    1 0 (0.800000000 0.200000000)  
##                              12004) Insurance>=4450 4    0 0 (1.000000000 0.000000000) *
##                              12005) Insurance< 4450 1    0 1 (0.000000000 1.000000000) *
##                             6003) HouseCosts>=725 4    0 1 (0.000000000 1.000000000) *
##                         1501) HouseCosts>=1950 31   15 1 (0.483870968 0.516129032)  
##                           3002) NumPeople>=2.5 16    5 0 (0.687500000 0.312500000)  
##                             6004) ElectricBill< 305 9    1 0 (0.888888889 0.111111111)  
##                              12008) ElectricBill>=155 8    0 0 (1.000000000 0.000000000) *
##                              12009) ElectricBill< 155 1    0 1 (0.000000000 1.000000000) *
##                             6005) ElectricBill>=305 7    3 1 (0.428571429 0.571428571)  
##                              12010) NumPeople>=3.5 4    1 0 (0.750000000 0.250000000)  
##                                24020) HouseCosts>=2150 3    0 0 (1.000000000 0.000000000) *
##                                24021) HouseCosts< 2150 1    0 1 (0.000000000 1.000000000) *
##                              12011) NumPeople< 3.5 3    0 1 (0.000000000 1.000000000) *
##                           3003) NumPeople< 2.5 15    4 1 (0.266666667 0.733333333)  
##                             6006) ElectricBill>=355 5    2 0 (0.600000000 0.400000000)  
##                              12012) ElectricBill< 380 2    0 0 (1.000000000 0.000000000) *
##                              12013) ElectricBill>=380 3    1 1 (0.333333333 0.666666667)  
##                                24026) ElectricBill>=430 1    0 0 (1.000000000 0.000000000) *
##                                24027) ElectricBill< 430 2    0 1 (0.000000000 1.000000000) *
##                             6007) ElectricBill< 355 10    1 1 (0.100000000 0.900000000)  
##                              12014) HouseCosts>=2950 1    0 0 (1.000000000 0.000000000) *
##                              12015) HouseCosts< 2950 9    0 1 (0.000000000 1.000000000) *
##                        751) NumChildren>=1.5 17    6 1 (0.352941176 0.647058824)  
##                         1502) ElectricBill>=275 8    3 0 (0.625000000 0.375000000)  
##                           3004) NumVehicles< 2.5 5    0 0 (1.000000000 0.000000000) *
##                           3005) NumVehicles>=2.5 3    0 1 (0.000000000 1.000000000) *
##                         1503) ElectricBill< 275 9    1 1 (0.111111111 0.888888889)  
##                           3006) NumRooms>=10.5 3    1 1 (0.333333333 0.666666667)  
##                             6012) HouseCosts< 1900 1    0 0 (1.000000000 0.000000000) *
##                             6013) HouseCosts>=1900 2    0 1 (0.000000000 1.000000000) *
##                           3007) NumRooms< 10.5 6    0 1 (0.000000000 1.000000000) *
##                 47) HouseCosts< 350 6    0 1 (0.000000000 1.000000000) *
##          3) HouseCosts>=3440 978  394 0 (0.597137014 0.402862986)  
##            6) HouseCosts< 4450 575  167 0 (0.709565217 0.290434783)  
##             12) Insurance< 1850 337   72 0 (0.786350148 0.213649852)  
##               24) HouseCosts< 4150 287   51 0 (0.822299652 0.177700348)  
##                 48) NumPeople>=4.5 79    6 0 (0.924050633 0.075949367)  
##                   96) NumRooms>=4.5 78    5 0 (0.935897436 0.064102564)  
##                    192) NumRooms< 10.5 69    3 0 (0.956521739 0.043478261)  
##                      384) ElectricBill< 475 64    2 0 (0.968750000 0.031250000)  
##                        768) ElectricBill>=105 57    1 0 (0.982456140 0.017543860)  
##                         1536) HouseCosts>=3550 44    0 0 (1.000000000 0.000000000) *
##                         1537) HouseCosts< 3550 13    1 0 (0.923076923 0.076923077)  
##                           3074) Insurance>=1150 9    0 0 (1.000000000 0.000000000) *
##                           3075) Insurance< 1150 4    1 0 (0.750000000 0.250000000)  
##                             6150) Insurance< 1000 3    0 0 (1.000000000 0.000000000) *
##                             6151) Insurance>=1000 1    0 1 (0.000000000 1.000000000) *
##                        769) ElectricBill< 105 7    1 0 (0.857142857 0.142857143)  
##                         1538) Insurance>=750 5    0 0 (1.000000000 0.000000000) *
##                         1539) Insurance< 750 2    1 0 (0.500000000 0.500000000)  
##                           3078) Insurance< 250 1    0 0 (1.000000000 0.000000000) *
##                           3079) Insurance>=250 1    0 1 (0.000000000 1.000000000) *
##                      385) ElectricBill>=475 5    1 0 (0.800000000 0.200000000)  
##                        770) NumChildren< 2.5 4    0 0 (1.000000000 0.000000000) *
##                        771) NumChildren>=2.5 1    0 1 (0.000000000 1.000000000) *
##                    193) NumRooms>=10.5 9    2 0 (0.777777778 0.222222222)  
##                      386) Insurance< 1300 5    0 0 (1.000000000 0.000000000) *
##                      387) Insurance>=1300 4    2 0 (0.500000000 0.500000000)  
##                        774) HouseCosts>=3750 2    0 0 (1.000000000 0.000000000) *
##                        775) HouseCosts< 3750 2    0 1 (0.000000000 1.000000000) *
##                   97) NumRooms< 4.5 1    0 1 (0.000000000 1.000000000) *
##                 49) NumPeople< 4.5 208   45 0 (0.783653846 0.216346154)  
##                   98) OwnRent=Mortgage 194   38 0 (0.804123711 0.195876289)  
##                    196) NumRooms< 7.5 102   13 0 (0.872549020 0.127450980)  
##                      392) ElectricBill>=25.5 101   12 0 (0.881188119 0.118811881)  
##                        784) HouseCosts>=3490 100   11 0 (0.890000000 0.110000000)  
##                         1568) ElectricBill< 290 73    4 0 (0.945205479 0.054794521)  
##                           3136) NumVehicles< 3.5 71    3 0 (0.957746479 0.042253521)  
##                             6272) NumPeople>=2.5 51    1 0 (0.980392157 0.019607843)  
##                              12544) NumWorkers>=1.5 40    0 0 (1.000000000 0.000000000) *
##                              12545) NumWorkers< 1.5 11    1 0 (0.909090909 0.090909091)  
##                                25090) HouseCosts< 3850 10    0 0 (1.000000000 0.000000000) *
##                                25091) HouseCosts>=3850 1    0 1 (0.000000000 1.000000000) *
##                             6273) NumPeople< 2.5 20    2 0 (0.900000000 0.100000000)  
##                              12546) HouseCosts>=3540 10    0 0 (1.000000000 0.000000000) *
##                              12547) HouseCosts< 3540 10    2 0 (0.800000000 0.200000000)  
##                                25094) ElectricBill< 115 4    0 0 (1.000000000 0.000000000) *
##                                25095) ElectricBill>=115 6    2 0 (0.666666667 0.333333333)  
##                                  50190) Insurance>=1550 3    0 0 (1.000000000 0.000000000) *
##                                  50191) Insurance< 1550 3    1 1 (0.333333333 0.666666667)  
##                                   100382) Insurance< 285 1    0 0 (1.000000000 0.000000000) *
##                                   100383) Insurance>=285 2    0 1 (0.000000000 1.000000000) *
##                           3137) NumVehicles>=3.5 2    1 0 (0.500000000 0.500000000)  
##                             6274) Insurance>=1300 1    0 0 (1.000000000 0.000000000) *
##                             6275) Insurance< 1300 1    0 1 (0.000000000 1.000000000) *
##                         1569) ElectricBill>=290 27    7 0 (0.740740741 0.259259259)  
##                           3138) Insurance< 1450 18    2 0 (0.888888889 0.111111111)  
##                             6276) Insurance>=850 10    0 0 (1.000000000 0.000000000) *
##                             6277) Insurance< 850 8    2 0 (0.750000000 0.250000000)  
##                              12554) Insurance< 690 7    1 0 (0.857142857 0.142857143)  
##                                25108) NumChildren>=0.5 5    0 0 (1.000000000 0.000000000) *
##                                25109) NumChildren< 0.5 2    1 0 (0.500000000 0.500000000)  
##                                  50218) Insurance>=340 1    0 0 (1.000000000 0.000000000) *
##                                  50219) Insurance< 340 1    0 1 (0.000000000 1.000000000) *
##                              12555) Insurance>=690 1    0 1 (0.000000000 1.000000000) *
##                           3139) Insurance>=1450 9    4 1 (0.444444444 0.555555556)  
##                             6278) NumChildren>=0.5 5    1 0 (0.800000000 0.200000000)  
##                              12556) HouseCosts< 3900 3    0 0 (1.000000000 0.000000000) *
##                              12557) HouseCosts>=3900 2    1 0 (0.500000000 0.500000000)  
##                                25114) Insurance>=1550 1    0 0 (1.000000000 0.000000000) *
##                                25115) Insurance< 1550 1    0 1 (0.000000000 1.000000000) *
##                             6279) NumChildren< 0.5 4    0 1 (0.000000000 1.000000000) *
##                        785) HouseCosts< 3490 1    0 1 (0.000000000 1.000000000) *
##                      393) ElectricBill< 25.5 1    0 1 (0.000000000 1.000000000) *
##                    197) NumRooms>=7.5 92   25 0 (0.728260870 0.271739130)  
##                      394) HouseCosts>=3550 64   11 0 (0.828125000 0.171875000)  
##                        788) HouseCosts< 3750 22    1 0 (0.954545455 0.045454545)  
##                         1576) ElectricBill>=115 17    0 0 (1.000000000 0.000000000) *
##                         1577) ElectricBill< 115 5    1 0 (0.800000000 0.200000000)  
##                           3154) NumBedrooms>=3.5 4    0 0 (1.000000000 0.000000000) *
##                           3155) NumBedrooms< 3.5 1    0 1 (0.000000000 1.000000000) *
##                        789) HouseCosts>=3750 42   10 0 (0.761904762 0.238095238)  
##                         1578) NumWorkers< 2.5 37    7 0 (0.810810811 0.189189189)  
##                           3156) ElectricBill>=120 34    5 0 (0.852941176 0.147058824)  
##                             6312) ElectricBill< 195 12    0 0 (1.000000000 0.000000000) *
##                             6313) ElectricBill>=195 22    5 0 (0.772727273 0.227272727)  
##                              12626) Insurance< 1750 19    3 0 (0.842105263 0.157894737)  
##                                25252) Insurance>=350 18    2 0 (0.888888889 0.111111111)  
##                                  50504) HouseCosts>=3850 10    0 0 (1.000000000 0.000000000) *
##                                  50505) HouseCosts< 3850 8    2 0 (0.750000000 0.250000000)  
##                                   101010) Insurance>=1250 5    0 0 (1.000000000 0.000000000) *
##                                   101011) Insurance< 1250 3    1 1 (0.333333333 0.666666667)  
##                                     202022) ElectricBill>=420 1    0 0 (1.000000000 0.000000000) *
##                                     202023) ElectricBill< 420 2    0 1 (0.000000000 1.000000000) *
##                                25253) Insurance< 350 1    0 1 (0.000000000 1.000000000) *
##                              12627) Insurance>=1750 3    1 1 (0.333333333 0.666666667)  
##                                25254) NumBedrooms< 3.5 1    0 0 (1.000000000 0.000000000) *
##                                25255) NumBedrooms>=3.5 2    0 1 (0.000000000 1.000000000) *
##                           3157) ElectricBill< 120 3    1 1 (0.333333333 0.666666667)  
##                             6314) Insurance>=1650 1    0 0 (1.000000000 0.000000000) *
##                             6315) Insurance< 1650 2    0 1 (0.000000000 1.000000000) *
##                         1579) NumWorkers>=2.5 5    2 1 (0.400000000 0.600000000)  
##                           3158) ElectricBill>=235 3    1 0 (0.666666667 0.333333333)  
##                             6316) Insurance>=1300 1    0 0 (1.000000000 0.000000000) *
##                             6317) Insurance< 1300 2    1 0 (0.500000000 0.500000000)  
##                              12634) ElectricBill< 290 1    0 0 (1.000000000 0.000000000) *
##                              12635) ElectricBill>=290 1    0 1 (0.000000000 1.000000000) *
##                           3159) ElectricBill< 235 2    0 1 (0.000000000 1.000000000) *
##                      395) HouseCosts< 3550 28   14 0 (0.500000000 0.500000000)  
##                        790) NumWorkers< 1.5 7    2 0 (0.714285714 0.285714286)  
##                         1580) ElectricBill>=250 4    0 0 (1.000000000 0.000000000) *
##                         1581) ElectricBill< 250 3    1 1 (0.333333333 0.666666667)  
##                           3162) ElectricBill< 195 1    0 0 (1.000000000 0.000000000) *
##                           3163) ElectricBill>=195 2    0 1 (0.000000000 1.000000000) *
##                        791) NumWorkers>=1.5 21    9 1 (0.428571429 0.571428571)  
##                         1582) Insurance>=1250 10    3 0 (0.700000000 0.300000000)  
##                           3164) NumRooms>=9 5    0 0 (1.000000000 0.000000000) *
##                           3165) NumRooms< 9 5    2 1 (0.400000000 0.600000000)  
##                             6330) ElectricBill< 160 1    0 0 (1.000000000 0.000000000) *
##                             6331) ElectricBill>=160 4    1 1 (0.250000000 0.750000000)  
##                              12662) ElectricBill>=335 1    0 0 (1.000000000 0.000000000) *
##                              12663) ElectricBill< 335 3    0 1 (0.000000000 1.000000000) *
##                         1583) Insurance< 1250 11    2 1 (0.181818182 0.818181818)  
##                           3166) NumVehicles< 0.5 1    0 0 (1.000000000 0.000000000) *
##                           3167) NumVehicles>=0.5 10    1 1 (0.100000000 0.900000000)  
##                             6334) NumVehicles>=3.5 3    1 1 (0.333333333 0.666666667)  
##                              12668) ElectricBill< 185 1    0 0 (1.000000000 0.000000000) *
##                              12669) ElectricBill>=185 2    0 1 (0.000000000 1.000000000) *
##                             6335) NumVehicles< 3.5 7    0 1 (0.000000000 1.000000000) *
##                   99) OwnRent=Rented 14    7 0 (0.500000000 0.500000000)  
##                    198) NumChildren< 1.5 10    3 0 (0.700000000 0.300000000)  
##                      396) ElectricBill< 410 8    1 0 (0.875000000 0.125000000)  
##                        792) NumPeople>=2.5 6    0 0 (1.000000000 0.000000000) *
##                        793) NumPeople< 2.5 2    1 0 (0.500000000 0.500000000)  
##                         1586) ElectricBill>=250 1    0 0 (1.000000000 0.000000000) *
##                         1587) ElectricBill< 250 1    0 1 (0.000000000 1.000000000) *
##                      397) ElectricBill>=410 2    0 1 (0.000000000 1.000000000) *
##                    199) NumChildren>=1.5 4    0 1 (0.000000000 1.000000000) *
##               25) HouseCosts>=4150 50   21 0 (0.580000000 0.420000000)  
##                 50) ElectricBill< 335 38   11 0 (0.710526316 0.289473684)  
##                  100) Insurance< 1650 35    8 0 (0.771428571 0.228571429)  
##                    200) NumRooms< 10.5 31    5 0 (0.838709677 0.161290323)  
##                      400) Insurance< 1250 15    1 0 (0.933333333 0.066666667)  
##                        800) NumChildren< 2.5 12    0 0 (1.000000000 0.000000000) *
##                        801) NumChildren>=2.5 3    1 0 (0.666666667 0.333333333)  
##                         1602) NumBedrooms>=3.5 2    0 0 (1.000000000 0.000000000) *
##                         1603) NumBedrooms< 3.5 1    0 1 (0.000000000 1.000000000) *
##                      401) Insurance>=1250 16    4 0 (0.750000000 0.250000000)  
##                        802) NumRooms< 7.5 7    0 0 (1.000000000 0.000000000) *
##                        803) NumRooms>=7.5 9    4 0 (0.555555556 0.444444444)  
##                         1606) NumBedrooms>=4.5 3    0 0 (1.000000000 0.000000000) *
##                         1607) NumBedrooms< 4.5 6    2 1 (0.333333333 0.666666667)  
##                           3214) NumChildren< 0.5 3    1 0 (0.666666667 0.333333333)  
##                             6428) ElectricBill>=140 2    0 0 (1.000000000 0.000000000) *
##                             6429) ElectricBill< 140 1    0 1 (0.000000000 1.000000000) *
##                           3215) NumChildren>=0.5 3    0 1 (0.000000000 1.000000000) *
##                    201) NumRooms>=10.5 4    1 1 (0.250000000 0.750000000)  
##                      402) NumBedrooms>=6.5 1    0 0 (1.000000000 0.000000000) *
##                      403) NumBedrooms< 6.5 3    0 1 (0.000000000 1.000000000) *
##                  101) Insurance>=1650 3    0 1 (0.000000000 1.000000000) *
##                 51) ElectricBill>=335 12    2 1 (0.166666667 0.833333333)  
##                  102) Insurance< 650 2    1 0 (0.500000000 0.500000000)  
##                    204) Insurance>=530 1    0 0 (1.000000000 0.000000000) *
##                    205) Insurance< 530 1    0 1 (0.000000000 1.000000000) *
##                  103) Insurance>=650 10    1 1 (0.100000000 0.900000000)  
##                    206) NumRooms>=12.5 1    0 0 (1.000000000 0.000000000) *
##                    207) NumRooms< 12.5 9    0 1 (0.000000000 1.000000000) *
##             13) Insurance>=1850 238   95 0 (0.600840336 0.399159664)  
##               26) NumBedrooms< 3.5 54   11 0 (0.796296296 0.203703704)  
##                 52) NumRooms>=5.5 46    6 0 (0.869565217 0.130434783)  
##                  104) Insurance>=1950 45    5 0 (0.888888889 0.111111111)  
##                    208) Insurance< 2900 27    0 0 (1.000000000 0.000000000) *
##                    209) Insurance>=2900 18    5 0 (0.722222222 0.277777778)  
##                      418) ElectricBill< 195 6    0 0 (1.000000000 0.000000000) *
##                      419) ElectricBill>=195 12    5 0 (0.583333333 0.416666667)  
##                        838) ElectricBill>=255 6    1 0 (0.833333333 0.166666667)  
##                         1676) NumChildren< 1.5 4    0 0 (1.000000000 0.000000000) *
##                         1677) NumChildren>=1.5 2    1 0 (0.500000000 0.500000000)  
##                           3354) Insurance>=3050 1    0 0 (1.000000000 0.000000000) *
##                           3355) Insurance< 3050 1    0 1 (0.000000000 1.000000000) *
##                        839) ElectricBill< 255 6    2 1 (0.333333333 0.666666667)  
##                         1678) ElectricBill< 235 4    2 0 (0.500000000 0.500000000)  
##                           3356) HouseCosts>=3950 2    0 0 (1.000000000 0.000000000) *
##                           3357) HouseCosts< 3950 2    0 1 (0.000000000 1.000000000) *
##                         1679) ElectricBill>=235 2    0 1 (0.000000000 1.000000000) *
##                  105) Insurance< 1950 1    0 1 (0.000000000 1.000000000) *
##                 53) NumRooms< 5.5 8    3 1 (0.375000000 0.625000000)  
##                  106) ElectricBill< 190 2    0 0 (1.000000000 0.000000000) *
##                  107) ElectricBill>=190 6    1 1 (0.166666667 0.833333333)  
##                    214) Insurance< 2350 2    1 0 (0.500000000 0.500000000)  
##                      428) Insurance>=2100 1    0 0 (1.000000000 0.000000000) *
##                      429) Insurance< 2100 1    0 1 (0.000000000 1.000000000) *
##                    215) Insurance>=2350 4    0 1 (0.000000000 1.000000000) *
##               27) NumBedrooms>=3.5 184   84 0 (0.543478261 0.456521739)  
##                 54) NumVehicles< 1.5 29    8 0 (0.724137931 0.275862069)  
##                  108) Insurance< 3100 16    2 0 (0.875000000 0.125000000)  
##                    216) ElectricBill< 290 10    0 0 (1.000000000 0.000000000) *
##                    217) ElectricBill>=290 6    2 0 (0.666666667 0.333333333)  
##                      434) ElectricBill>=310 5    1 0 (0.800000000 0.200000000)  
##                        868) NumWorkers< 1.5 3    0 0 (1.000000000 0.000000000) *
##                        869) NumWorkers>=1.5 2    1 0 (0.500000000 0.500000000)  
##                         1738) Insurance>=2500 1    0 0 (1.000000000 0.000000000) *
##                         1739) Insurance< 2500 1    0 1 (0.000000000 1.000000000) *
##                      435) ElectricBill< 310 1    0 1 (0.000000000 1.000000000) *
##                  109) Insurance>=3100 13    6 0 (0.538461538 0.461538462)  
##                    218) ElectricBill< 185 5    1 0 (0.800000000 0.200000000)  
##                      436) NumBedrooms< 6.5 4    0 0 (1.000000000 0.000000000) *
##                      437) NumBedrooms>=6.5 1    0 1 (0.000000000 1.000000000) *
##                    219) ElectricBill>=185 8    3 1 (0.375000000 0.625000000)  
##                      438) NumBedrooms>=4.5 4    1 0 (0.750000000 0.250000000)  
##                        876) HouseCosts>=3900 3    0 0 (1.000000000 0.000000000) *
##                        877) HouseCosts< 3900 1    0 1 (0.000000000 1.000000000) *
##                      439) NumBedrooms< 4.5 4    0 1 (0.000000000 1.000000000) *
##                 55) NumVehicles>=1.5 155   76 0 (0.509677419 0.490322581)  
##                  110) ElectricBill>=95 149   71 0 (0.523489933 0.476510067)  
##                    220) NumBedrooms< 4.5 93   38 0 (0.591397849 0.408602151)  
##                      440) NumRooms< 12.5 91   36 0 (0.604395604 0.395604396)  
##                        880) ElectricBill< 140 7    1 0 (0.857142857 0.142857143)  
##                         1760) HouseCosts< 3850 5    0 0 (1.000000000 0.000000000) *
##                         1761) HouseCosts>=3850 2    1 0 (0.500000000 0.500000000)  
##                           3522) ElectricBill>=120 1    0 0 (1.000000000 0.000000000) *
##                           3523) ElectricBill< 120 1    0 1 (0.000000000 1.000000000) *
##                        881) ElectricBill>=140 84   35 0 (0.583333333 0.416666667)  
##                         1762) ElectricBill>=160 78   30 0 (0.615384615 0.384615385)  
##                           3524) ElectricBill< 205 14    2 0 (0.857142857 0.142857143)  
##                             7048) NumRooms< 8.5 9    0 0 (1.000000000 0.000000000) *
##                             7049) NumRooms>=8.5 5    2 0 (0.600000000 0.400000000)  
##                              14098) NumChildren< 0.5 3    0 0 (1.000000000 0.000000000) *
##                              14099) NumChildren>=0.5 2    0 1 (0.000000000 1.000000000) *
##                           3525) ElectricBill>=205 64   28 0 (0.562500000 0.437500000)  
##                             7050) NumPeople< 5.5 62   26 0 (0.580645161 0.419354839)  
##                              14100) NumPeople>=2.5 51   19 0 (0.627450980 0.372549020)  
##                                28200) Insurance< 2900 29    8 0 (0.724137931 0.275862069)  
##                                  56400) HouseCosts>=3550 21    4 0 (0.809523810 0.190476190)  
##                                   112800) NumChildren< 1.5 13    1 0 (0.923076923 0.076923077)  
##                                     225600) Insurance< 2350 10    0 0 (1.000000000 0.000000000) *
##                                     225601) Insurance>=2350 3    1 0 (0.666666667 0.333333333)  
##                                       451202) Insurance>=2450 2    0 0 (1.000000000 0.000000000) *
##                                       451203) Insurance< 2450 1    0 1 (0.000000000 1.000000000) *
##                                   112801) NumChildren>=1.5 8    3 0 (0.625000000 0.375000000)  
##                                     225602) NumWorkers>=1.5 6    1 0 (0.833333333 0.166666667)  
##                                       451204) Insurance>=2050 4    0 0 (1.000000000 0.000000000) *
##                                       451205) Insurance< 2050 2    1 0 (0.500000000 0.500000000)  
##                                         902410) ElectricBill< 295 1    0 0 (1.000000000 0.000000000) *
##                                         902411) ElectricBill>=295 1    0 1 (0.000000000 1.000000000) *
##                                     225603) NumWorkers< 1.5 2    0 1 (0.000000000 1.000000000) *
##                                  56401) HouseCosts< 3550 8    4 0 (0.500000000 0.500000000)  
##                                   112802) Insurance>=2300 5    1 0 (0.800000000 0.200000000)  
##                                     225604) NumChildren>=1 4    0 0 (1.000000000 0.000000000) *
##                                     225605) NumChildren< 1 1    0 1 (0.000000000 1.000000000) *
##                                   112803) Insurance< 2300 3    0 1 (0.000000000 1.000000000) *
##                                28201) Insurance>=2900 22   11 0 (0.500000000 0.500000000)  
##                                  56402) NumChildren< 0.5 6    1 0 (0.833333333 0.166666667)  
##                                   112804) HouseCosts>=3550 5    0 0 (1.000000000 0.000000000) *
##                                   112805) HouseCosts< 3550 1    0 1 (0.000000000 1.000000000) *
##                                  56403) NumChildren>=0.5 16    6 1 (0.375000000 0.625000000)  
##                                   112806) Insurance>=3650 9    3 0 (0.666666667 0.333333333)  
##                                     225612) ElectricBill>=335 7    1 0 (0.857142857 0.142857143)  
##                                       451224) NumRooms>=6.5 6    0 0 (1.000000000 0.000000000) *
##                                       451225) NumRooms< 6.5 1    0 1 (0.000000000 1.000000000) *
##                                     225613) ElectricBill< 335 2    0 1 (0.000000000 1.000000000) *
##                                   112807) Insurance< 3650 7    0 1 (0.000000000 1.000000000) *
##                              14101) NumPeople< 2.5 11    4 1 (0.363636364 0.636363636)  
##                                28202) Insurance>=3500 2    0 0 (1.000000000 0.000000000) *
##                                28203) Insurance< 3500 9    2 1 (0.222222222 0.777777778)  
##                                  56406) HouseCosts>=4350 1    0 0 (1.000000000 0.000000000) *
##                                  56407) HouseCosts< 4350 8    1 1 (0.125000000 0.875000000)  
##                                   112814) Insurance< 2150 2    1 0 (0.500000000 0.500000000)  
##                                     225628) Insurance>=2050 1    0 0 (1.000000000 0.000000000) *
##                                     225629) Insurance< 2050 1    0 1 (0.000000000 1.000000000) *
##                                   112815) Insurance>=2150 6    0 1 (0.000000000 1.000000000) *
##                             7051) NumPeople>=5.5 2    0 1 (0.000000000 1.000000000) *
##                         1763) ElectricBill< 160 6    1 1 (0.166666667 0.833333333)  
##                           3526) Insurance>=3250 1    0 0 (1.000000000 0.000000000) *
##                           3527) Insurance< 3250 5    0 1 (0.000000000 1.000000000) *
##                      441) NumRooms>=12.5 2    0 1 (0.000000000 1.000000000) *
##                    221) NumBedrooms>=4.5 56   23 1 (0.410714286 0.589285714)  
##                      442) Insurance>=2450 49   22 1 (0.448979592 0.551020408)  
##                        884) ElectricBill>=510 6    1 0 (0.833333333 0.166666667)  
##                         1768) HouseCosts>=3750 4    0 0 (1.000000000 0.000000000) *
##                         1769) HouseCosts< 3750 2    1 0 (0.500000000 0.500000000)  
##                           3538) NumBedrooms< 6.5 1    0 0 (1.000000000 0.000000000) *
##                           3539) NumBedrooms>=6.5 1    0 1 (0.000000000 1.000000000) *
##                        885) ElectricBill< 510 43   17 1 (0.395348837 0.604651163)  
##                         1770) ElectricBill< 475 36   16 1 (0.444444444 0.555555556)  
##                           3540) Insurance>=5550 7    2 0 (0.714285714 0.285714286)  
##                             7080) NumRooms< 12.5 5    0 0 (1.000000000 0.000000000) *
##                             7081) NumRooms>=12.5 2    0 1 (0.000000000 1.000000000) *
##                           3541) Insurance< 5550 29   11 1 (0.379310345 0.620689655)  
##                             7082) NumBedrooms>=6.5 9    3 0 (0.666666667 0.333333333)  
##                              14164) Insurance< 3900 7    1 0 (0.857142857 0.142857143)  
##                                28328) NumWorkers>=1.5 6    0 0 (1.000000000 0.000000000) *
##                                28329) NumWorkers< 1.5 1    0 1 (0.000000000 1.000000000) *
##                              14165) Insurance>=3900 2    0 1 (0.000000000 1.000000000) *
##                             7083) NumBedrooms< 6.5 20    5 1 (0.250000000 0.750000000)  
##                              14166) NumPeople< 4.5 14    5 1 (0.357142857 0.642857143)  
##                                28332) NumPeople>=3.5 6    2 0 (0.666666667 0.333333333)  
##                                  56664) ElectricBill>=225 5    1 0 (0.800000000 0.200000000)  
##                                   113328) NumWorkers< 2.5 4    0 0 (1.000000000 0.000000000) *
##                                   113329) NumWorkers>=2.5 1    0 1 (0.000000000 1.000000000) *
##                                  56665) ElectricBill< 225 1    0 1 (0.000000000 1.000000000) *
##                                28333) NumPeople< 3.5 8    1 1 (0.125000000 0.875000000)  
##                                  56666) HouseCosts< 3850 2    1 0 (0.500000000 0.500000000)  
##                                   113332) Insurance< 3500 1    0 0 (1.000000000 0.000000000) *
##                                   113333) Insurance>=3500 1    0 1 (0.000000000 1.000000000) *
##                                  56667) HouseCosts>=3850 6    0 1 (0.000000000 1.000000000) *
##                              14167) NumPeople>=4.5 6    0 1 (0.000000000 1.000000000) *
##                         1771) ElectricBill>=475 7    1 1 (0.142857143 0.857142857)  
##                           3542) NumRooms>=10.5 2    1 0 (0.500000000 0.500000000)  
##                             7084) NumPeople< 4.5 1    0 0 (1.000000000 0.000000000) *
##                             7085) NumPeople>=4.5 1    0 1 (0.000000000 1.000000000) *
##                           3543) NumRooms< 10.5 5    0 1 (0.000000000 1.000000000) *
##                      443) Insurance< 2450 7    1 1 (0.142857143 0.857142857)  
##                        886) HouseCosts< 3750 2    1 0 (0.500000000 0.500000000)  
##                         1772) ElectricBill< 440 1    0 0 (1.000000000 0.000000000) *
##                         1773) ElectricBill>=440 1    0 1 (0.000000000 1.000000000) *
##                        887) HouseCosts>=3750 5    0 1 (0.000000000 1.000000000) *
##                  111) ElectricBill< 95 6    1 1 (0.166666667 0.833333333)  
##                    222) NumBedrooms>=6 1    0 0 (1.000000000 0.000000000) *
##                    223) NumBedrooms< 6 5    0 1 (0.000000000 1.000000000) *
##            7) HouseCosts>=4450 403  176 1 (0.436724566 0.563275434)  
##             14) ElectricBill< 430 326  156 1 (0.478527607 0.521472393)  
##               28) Insurance< 865 20    3 0 (0.850000000 0.150000000)  
##                 56) NumChildren< 0.5 8    0 0 (1.000000000 0.000000000) *
##                 57) NumChildren>=0.5 12    3 0 (0.750000000 0.250000000)  
##                  114) Insurance>=750 4    0 0 (1.000000000 0.000000000) *
##                  115) Insurance< 750 8    3 0 (0.625000000 0.375000000)  
##                    230) HouseCosts< 5650 3    0 0 (1.000000000 0.000000000) *
##                    231) HouseCosts>=5650 5    2 1 (0.400000000 0.600000000)  
##                      462) ElectricBill< 235 3    1 0 (0.666666667 0.333333333)  
##                        924) Insurance< 600 2    0 0 (1.000000000 0.000000000) *
##                        925) Insurance>=600 1    0 1 (0.000000000 1.000000000) *
##                      463) ElectricBill>=235 2    0 1 (0.000000000 1.000000000) *
##               29) Insurance>=865 306  139 1 (0.454248366 0.545751634)  
##                 58) NumRooms< 5.5 20    5 0 (0.750000000 0.250000000)  
##                  116) Insurance< 3650 15    2 0 (0.866666667 0.133333333)  
##                    232) ElectricBill>=190 6    0 0 (1.000000000 0.000000000) *
##                    233) ElectricBill< 190 9    2 0 (0.777777778 0.222222222)  
##                      466) HouseCosts>=4550 8    1 0 (0.875000000 0.125000000)  
##                        932) ElectricBill< 175 6    0 0 (1.000000000 0.000000000) *
##                        933) ElectricBill>=175 2    1 0 (0.500000000 0.500000000)  
##                         1866) Insurance< 1850 1    0 0 (1.000000000 0.000000000) *
##                         1867) Insurance>=1850 1    0 1 (0.000000000 1.000000000) *
##                      467) HouseCosts< 4550 1    0 1 (0.000000000 1.000000000) *
##                  117) Insurance>=3650 5    2 1 (0.400000000 0.600000000)  
##                    234) Insurance>=4250 3    1 0 (0.666666667 0.333333333)  
##                      468) NumBedrooms>=2.5 2    0 0 (1.000000000 0.000000000) *
##                      469) NumBedrooms< 2.5 1    0 1 (0.000000000 1.000000000) *
##                    235) Insurance< 4250 2    0 1 (0.000000000 1.000000000) *
##                 59) NumRooms>=5.5 286  124 1 (0.433566434 0.566433566)  
##                  118) NumPeople>=6.5 7    1 0 (0.857142857 0.142857143)  
##                    236) ElectricBill>=265 6    0 0 (1.000000000 0.000000000) *
##                    237) ElectricBill< 265 1    0 1 (0.000000000 1.000000000) *
##                  119) NumPeople< 6.5 279  118 1 (0.422939068 0.577060932)  
##                    238) NumRooms< 8.5 114   57 0 (0.500000000 0.500000000)  
##                      476) NumPeople>=3.5 67   27 0 (0.597014925 0.402985075)  
##                        952) NumVehicles>=3.5 6    0 0 (1.000000000 0.000000000) *
##                        953) NumVehicles< 3.5 61   27 0 (0.557377049 0.442622951)  
##                         1906) NumWorkers< 1.5 22    6 0 (0.727272727 0.272727273)  
##                           3812) ElectricBill>=315 6    0 0 (1.000000000 0.000000000) *
##                           3813) ElectricBill< 315 16    6 0 (0.625000000 0.375000000)  
##                             7626) NumRooms< 6.5 4    0 0 (1.000000000 0.000000000) *
##                             7627) NumRooms>=6.5 12    6 0 (0.500000000 0.500000000)  
##                              15254) Insurance>=1600 9    3 0 (0.666666667 0.333333333)  
##                                30508) NumRooms>=7.5 6    0 0 (1.000000000 0.000000000) *
##                                30509) NumRooms< 7.5 3    0 1 (0.000000000 1.000000000) *
##                              15255) Insurance< 1600 3    0 1 (0.000000000 1.000000000) *
##                         1907) NumWorkers>=1.5 39   18 1 (0.461538462 0.538461538)  
##                           3814) Insurance< 1450 9    1 0 (0.888888889 0.111111111)  
##                             7628) Insurance>=950 7    0 0 (1.000000000 0.000000000) *
##                             7629) Insurance< 950 2    1 0 (0.500000000 0.500000000)  
##                              15258) ElectricBill>=260 1    0 0 (1.000000000 0.000000000) *
##                              15259) ElectricBill< 260 1    0 1 (0.000000000 1.000000000) *
##                           3815) Insurance>=1450 30   10 1 (0.333333333 0.666666667)  
##                             7630) NumChildren< 1.5 10    4 0 (0.600000000 0.400000000)  
##                              15260) NumVehicles< 2.5 6    1 0 (0.833333333 0.166666667)  
##                                30520) ElectricBill< 375 5    0 0 (1.000000000 0.000000000) *
##                                30521) ElectricBill>=375 1    0 1 (0.000000000 1.000000000) *
##                              15261) NumVehicles>=2.5 4    1 1 (0.250000000 0.750000000)  
##                                30522) NumBedrooms< 3.5 1    0 0 (1.000000000 0.000000000) *
##                                30523) NumBedrooms>=3.5 3    0 1 (0.000000000 1.000000000) *
##                             7631) NumChildren>=1.5 20    4 1 (0.200000000 0.800000000)  
##                              15262) Insurance>=3700 4    2 0 (0.500000000 0.500000000)  
##                                30524) ElectricBill>=215 2    0 0 (1.000000000 0.000000000) *
##                                30525) ElectricBill< 215 2    0 1 (0.000000000 1.000000000) *
##                              15263) Insurance< 3700 16    2 1 (0.125000000 0.875000000)  
##                                30526) NumChildren>=2.5 6    2 1 (0.333333333 0.666666667)  
##                                  61052) ElectricBill< 225 1    0 0 (1.000000000 0.000000000) *
##                                  61053) ElectricBill>=225 5    1 1 (0.200000000 0.800000000)  
##                                   122106) ElectricBill>=325 1    0 0 (1.000000000 0.000000000) *
##                                   122107) ElectricBill< 325 4    0 1 (0.000000000 1.000000000) *
##                                30527) NumChildren< 2.5 10    0 1 (0.000000000 1.000000000) *
##                      477) NumPeople< 3.5 47   17 1 (0.361702128 0.638297872)  
##                        954) NumPeople< 2.5 25   11 0 (0.560000000 0.440000000)  
##                         1908) ElectricBill>=260 7    1 0 (0.857142857 0.142857143)  
##                           3816) ElectricBill< 345 6    0 0 (1.000000000 0.000000000) *
##                           3817) ElectricBill>=345 1    0 1 (0.000000000 1.000000000) *
##                         1909) ElectricBill< 260 18    8 1 (0.444444444 0.555555556)  
##                           3818) NumVehicles>=1.5 12    5 0 (0.583333333 0.416666667)  
##                             7636) ElectricBill< 110 2    0 0 (1.000000000 0.000000000) *
##                             7637) ElectricBill>=110 10    5 0 (0.500000000 0.500000000)  
##                              15274) Insurance>=990 9    4 0 (0.555555556 0.444444444)  
##                                30548) HouseCosts< 4750 2    0 0 (1.000000000 0.000000000) *
##                                30549) HouseCosts>=4750 7    3 1 (0.428571429 0.571428571)  
##                                  61098) NumWorkers>=1.5 2    0 0 (1.000000000 0.000000000) *
##                                  61099) NumWorkers< 1.5 5    1 1 (0.200000000 0.800000000)  
##                                   122198) ElectricBill< 165 2    1 0 (0.500000000 0.500000000)  
##                                     244396) Insurance< 3950 1    0 0 (1.000000000 0.000000000) *
##                                     244397) Insurance>=3950 1    0 1 (0.000000000 1.000000000) *
##                                   122199) ElectricBill>=165 3    0 1 (0.000000000 1.000000000) *
##                              15275) Insurance< 990 1    0 1 (0.000000000 1.000000000) *
##                           3819) NumVehicles< 1.5 6    1 1 (0.166666667 0.833333333)  
##                             7638) NumVehicles< 0.5 1    0 0 (1.000000000 0.000000000) *
##                             7639) NumVehicles>=0.5 5    0 1 (0.000000000 1.000000000) *
##                        955) NumPeople>=2.5 22    3 1 (0.136363636 0.863636364)  
##                         1910) Insurance< 3250 13    3 1 (0.230769231 0.769230769)  
##                           3820) Insurance>=2500 1    0 0 (1.000000000 0.000000000) *
##                           3821) Insurance< 2500 12    2 1 (0.166666667 0.833333333)  
##                             7642) HouseCosts< 4600 2    1 0 (0.500000000 0.500000000)  
##                              15284) Insurance< 1150 1    0 0 (1.000000000 0.000000000) *
##                              15285) Insurance>=1150 1    0 1 (0.000000000 1.000000000) *
##                             7643) HouseCosts>=4600 10    1 1 (0.100000000 0.900000000)  
##                              15286) NumBedrooms>=4.5 3    1 1 (0.333333333 0.666666667)  
##                                30572) ElectricBill< 290 1    0 0 (1.000000000 0.000000000) *
##                                30573) ElectricBill>=290 2    0 1 (0.000000000 1.000000000) *
##                              15287) NumBedrooms< 4.5 7    0 1 (0.000000000 1.000000000) *
##                         1911) Insurance>=3250 9    0 1 (0.000000000 1.000000000) *
##                    239) NumRooms>=8.5 165   61 1 (0.369696970 0.630303030)  
##                      478) ElectricBill< 105 21    9 0 (0.571428571 0.428571429)  
##                        956) ElectricBill>=55 16    5 0 (0.687500000 0.312500000)  
##                         1912) NumVehicles>=2.5 4    0 0 (1.000000000 0.000000000) *
##                         1913) NumVehicles< 2.5 12    5 0 (0.583333333 0.416666667)  
##                           3826) Insurance< 1050 2    0 0 (1.000000000 0.000000000) *
##                           3827) Insurance>=1050 10    5 0 (0.500000000 0.500000000)  
##                             7654) Insurance>=1500 8    3 0 (0.625000000 0.375000000)  
##                              15308) NumChildren< 3.5 7    2 0 (0.714285714 0.285714286)  
##                                30616) NumChildren>=1.5 3    0 0 (1.000000000 0.000000000) *
##                                30617) NumChildren< 1.5 4    2 0 (0.500000000 0.500000000)  
##                                  61234) Insurance< 1900 1    0 0 (1.000000000 0.000000000) *
##                                  61235) Insurance>=1900 3    1 1 (0.333333333 0.666666667)  
##                                   122470) Insurance>=5700 1    0 0 (1.000000000 0.000000000) *
##                                   122471) Insurance< 5700 2    0 1 (0.000000000 1.000000000) *
##                              15309) NumChildren>=3.5 1    0 1 (0.000000000 1.000000000) *
##                             7655) Insurance< 1500 2    0 1 (0.000000000 1.000000000) *
##                        957) ElectricBill< 55 5    1 1 (0.200000000 0.800000000)  
##                         1914) NumPeople< 3.5 1    0 0 (1.000000000 0.000000000) *
##                         1915) NumPeople>=3.5 4    0 1 (0.000000000 1.000000000) *
##                      479) ElectricBill>=105 144   49 1 (0.340277778 0.659722222)  
##                        958) ElectricBill>=380 19    8 0 (0.578947368 0.421052632)  
##                         1916) Insurance< 2750 7    1 0 (0.857142857 0.142857143)  
##                           3832) Insurance>=1200 6    0 0 (1.000000000 0.000000000) *
##                           3833) Insurance< 1200 1    0 1 (0.000000000 1.000000000) *
##                         1917) Insurance>=2750 12    5 1 (0.416666667 0.583333333)  
##                           3834) Insurance>=3800 9    4 0 (0.555555556 0.444444444)  
##                             7668) Insurance< 5700 3    0 0 (1.000000000 0.000000000) *
##                             7669) Insurance>=5700 6    2 1 (0.333333333 0.666666667)  
##                              15338) NumWorkers>=1.5 2    0 0 (1.000000000 0.000000000) *
##                              15339) NumWorkers< 1.5 4    0 1 (0.000000000 1.000000000) *
##                           3835) Insurance< 3800 3    0 1 (0.000000000 1.000000000) *
##                        959) ElectricBill< 380 125   38 1 (0.304000000 0.696000000)  
##                         1918) NumChildren< 2.5 99   35 1 (0.353535354 0.646464646)  
##                           3836) NumPeople>=5.5 3    0 0 (1.000000000 0.000000000) *
##                           3837) NumPeople< 5.5 96   32 1 (0.333333333 0.666666667)  
##                             7674) Insurance< 2050 29   14 1 (0.482758621 0.517241379)  
##                              15348) NumVehicles>=3.5 4    0 0 (1.000000000 0.000000000) *
##                              15349) NumVehicles< 3.5 25   10 1 (0.400000000 0.600000000)  
##                                30698) ElectricBill< 265 15    6 0 (0.600000000 0.400000000)  
##                                  61396) Insurance>=1550 7    1 0 (0.857142857 0.142857143)  
##                                   122792) HouseCosts>=4600 6    0 0 (1.000000000 0.000000000) *
##                                   122793) HouseCosts< 4600 1    0 1 (0.000000000 1.000000000) *
##                                  61397) Insurance< 1550 8    3 1 (0.375000000 0.625000000)  
##                                   122794) Insurance< 950 1    0 0 (1.000000000 0.000000000) *
##                                   122795) Insurance>=950 7    2 1 (0.285714286 0.714285714)  
##                                     245590) HouseCosts>=4850 4    2 0 (0.500000000 0.500000000)  
##                                       491180) Insurance< 1300 3    1 0 (0.666666667 0.333333333)  
##                                         982360) NumBedrooms>=3.5 2    0 0 (1.000000000 0.000000000) *
##                                         982361) NumBedrooms< 3.5 1    0 1 (0.000000000 1.000000000) *
##                                       491181) Insurance>=1300 1    0 1 (0.000000000 1.000000000) *
##                                     245591) HouseCosts< 4850 3    0 1 (0.000000000 1.000000000) *
##                                30699) ElectricBill>=265 10    1 1 (0.100000000 0.900000000)  
##                                  61398) Insurance< 1150 1    0 0 (1.000000000 0.000000000) *
##                                  61399) Insurance>=1150 9    0 1 (0.000000000 1.000000000) *
##                             7675) Insurance>=2050 67   18 1 (0.268656716 0.731343284)  
##                              15350) Insurance>=2800 57   18 1 (0.315789474 0.684210526)  
##                                30700) FoodStamp=Yes 1    0 0 (1.000000000 0.000000000) *
##                                30701) FoodStamp=No 56   17 1 (0.303571429 0.696428571)  
##                                  61402) NumRooms< 11.5 38   14 1 (0.368421053 0.631578947)  
##                                   122804) ElectricBill>=345 6    2 0 (0.666666667 0.333333333)  
##                                     245608) Insurance>=3100 5    1 0 (0.800000000 0.200000000)  
##                                       491216) NumVehicles< 3.5 4    0 0 (1.000000000 0.000000000) *
##                                       491217) NumVehicles>=3.5 1    0 1 (0.000000000 1.000000000) *
##                                     245609) Insurance< 3100 1    0 1 (0.000000000 1.000000000) *
##                                   122805) ElectricBill< 345 32   10 1 (0.312500000 0.687500000)  
##                                     245610) NumVehicles< 1.5 2    0 0 (1.000000000 0.000000000) *
##                                     245611) NumVehicles>=1.5 30    8 1 (0.266666667 0.733333333)  
##                                       491222) NumPeople>=2.5 25    8 1 (0.320000000 0.680000000)  
##                                         982444) ElectricBill< 195 6    2 0 (0.666666667 0.333333333)  
##                                          1964888) Insurance>=3200 4    0 0 (1.000000000 0.000000000) *
##                                          1964889) Insurance< 3200 2    0 1 (0.000000000 1.000000000) *
##                                         982445) ElectricBill>=195 19    4 1 (0.210526316 0.789473684)  
##                                          1964890) NumPeople>=3.5 9    3 1 (0.333333333 0.666666667)  
##                                            3929780) NumBedrooms< 3.5 1    0 0 (1.000000000 0.000000000) *
##                                            3929781) NumBedrooms>=3.5 8    2 1 (0.250000000 0.750000000)  
##                                              7859562) NumChildren< 0.5 1    0 0 (1.000000000 0.000000000) *
##                                              7859563) NumChildren>=0.5 7    1 1 (0.142857143 0.857142857)  
##                                               15719126) Insurance>=5300 2    1 0 (0.500000000 0.500000000)  
##                                                 31438252) ElectricBill>=275 1    0 0 (1.000000000 0.000000000) *
##                                                 31438253) ElectricBill< 275 1    0 1 (0.000000000 1.000000000) *
##                                               15719127) Insurance< 5300 5    0 1 (0.000000000 1.000000000) *
##                                          1964891) NumPeople< 3.5 10    1 1 (0.100000000 0.900000000)  
##                                            3929782) ElectricBill< 235 4    1 1 (0.250000000 0.750000000)  
##                                              7859564) Insurance>=5300 2    1 0 (0.500000000 0.500000000)  
##                                               15719128) NumChildren< 0.5 1    0 0 (1.000000000 0.000000000) *
##                                               15719129) NumChildren>=0.5 1    0 1 (0.000000000 1.000000000) *
##                                              7859565) Insurance< 5300 2    0 1 (0.000000000 1.000000000) *
##                                            3929783) ElectricBill>=235 6    0 1 (0.000000000 1.000000000) *
##                                       491223) NumPeople< 2.5 5    0 1 (0.000000000 1.000000000) *
##                                  61403) NumRooms>=11.5 18    3 1 (0.166666667 0.833333333)  
##                                   122806) ElectricBill< 170 2    1 0 (0.500000000 0.500000000)  
##                                     245612) ElectricBill>=140 1    0 0 (1.000000000 0.000000000) *
##                                     245613) ElectricBill< 140 1    0 1 (0.000000000 1.000000000) *
##                                   122807) ElectricBill>=170 16    2 1 (0.125000000 0.875000000)  
##                                     245614) Insurance< 4650 3    1 1 (0.333333333 0.666666667)  
##                                       491228) Insurance>=4250 1    0 0 (1.000000000 0.000000000) *
##                                       491229) Insurance< 4250 2    0 1 (0.000000000 1.000000000) *
##                                     245615) Insurance>=4650 13    1 1 (0.076923077 0.923076923)  
##                                       491230) ElectricBill>=225 7    1 1 (0.142857143 0.857142857)  
##                                         982460) ElectricBill< 275 1    0 0 (1.000000000 0.000000000) *
##                                         982461) ElectricBill>=275 6    0 1 (0.000000000 1.000000000) *
##                                       491231) ElectricBill< 225 6    0 1 (0.000000000 1.000000000) *
##                              15351) Insurance< 2800 10    0 1 (0.000000000 1.000000000) *
##                         1919) NumChildren>=2.5 26    3 1 (0.115384615 0.884615385)  
##                           3838) ElectricBill< 155 6    2 1 (0.333333333 0.666666667)  
##                             7676) NumWorkers>=1.5 3    1 0 (0.666666667 0.333333333)  
##                              15352) Insurance>=1650 2    0 0 (1.000000000 0.000000000) *
##                              15353) Insurance< 1650 1    0 1 (0.000000000 1.000000000) *
##                             7677) NumWorkers< 1.5 3    0 1 (0.000000000 1.000000000) *
##                           3839) ElectricBill>=155 20    1 1 (0.050000000 0.950000000)  
##                             7678) HouseCosts< 5650 2    1 0 (0.500000000 0.500000000)  
##                              15356) Insurance>=3300 1    0 0 (1.000000000 0.000000000) *
##                              15357) Insurance< 3300 1    0 1 (0.000000000 1.000000000) *
##                             7679) HouseCosts>=5650 18    0 1 (0.000000000 1.000000000) *
##             15) ElectricBill>=430 77   20 1 (0.259740260 0.740259740)  
##               30) NumRooms< 10.5 48   17 1 (0.354166667 0.645833333)  
##                 60) NumWorkers< 1.5 17    8 0 (0.529411765 0.470588235)  
##                  120) NumChildren< 2.5 14    5 0 (0.642857143 0.357142857)  
##                    240) NumVehicles>=1.5 10    2 0 (0.800000000 0.200000000)  
##                      480) Insurance>=260 9    1 0 (0.888888889 0.111111111)  
##                        960) NumChildren>=0.5 6    0 0 (1.000000000 0.000000000) *
##                        961) NumChildren< 0.5 3    1 0 (0.666666667 0.333333333)  
##                         1922) NumPeople< 3.5 2    0 0 (1.000000000 0.000000000) *
##                         1923) NumPeople>=3.5 1    0 1 (0.000000000 1.000000000) *
##                      481) Insurance< 260 1    0 1 (0.000000000 1.000000000) *
##                    241) NumVehicles< 1.5 4    1 1 (0.250000000 0.750000000)  
##                      482) NumChildren>=1.5 1    0 0 (1.000000000 0.000000000) *
##                      483) NumChildren< 1.5 3    0 1 (0.000000000 1.000000000) *
##                  121) NumChildren>=2.5 3    0 1 (0.000000000 1.000000000) *
##                 61) NumWorkers>=1.5 31    8 1 (0.258064516 0.741935484)  
##                  122) NumBedrooms< 4.5 19    8 1 (0.421052632 0.578947368)  
##                    244) Insurance< 2200 7    2 0 (0.714285714 0.285714286)  
##                      488) Insurance>=450 6    1 0 (0.833333333 0.166666667)  
##                        976) NumVehicles< 3.5 5    0 0 (1.000000000 0.000000000) *
##                        977) NumVehicles>=3.5 1    0 1 (0.000000000 1.000000000) *
##                      489) Insurance< 450 1    0 1 (0.000000000 1.000000000) *
##                    245) Insurance>=2200 12    3 1 (0.250000000 0.750000000)  
##                      490) NumChildren>=4.5 1    0 0 (1.000000000 0.000000000) *
##                      491) NumChildren< 4.5 11    2 1 (0.181818182 0.818181818)  
##                        982) NumPeople< 2.5 2    1 0 (0.500000000 0.500000000)  
##                         1964) Insurance< 3250 1    0 0 (1.000000000 0.000000000) *
##                         1965) Insurance>=3250 1    0 1 (0.000000000 1.000000000) *
##                        983) NumPeople>=2.5 9    1 1 (0.111111111 0.888888889)  
##                         1966) Insurance>=3900 3    1 1 (0.333333333 0.666666667)  
##                           3932) NumChildren>=1.5 1    0 0 (1.000000000 0.000000000) *
##                           3933) NumChildren< 1.5 2    0 1 (0.000000000 1.000000000) *
##                         1967) Insurance< 3900 6    0 1 (0.000000000 1.000000000) *
##                  123) NumBedrooms>=4.5 12    0 1 (0.000000000 1.000000000) *
##               31) NumRooms>=10.5 29    3 1 (0.103448276 0.896551724)  
##                 62) Insurance>=2400 16    3 1 (0.187500000 0.812500000)  
##                  124) Insurance< 2750 1    0 0 (1.000000000 0.000000000) *
##                  125) Insurance>=2750 15    2 1 (0.133333333 0.866666667)  
##                    250) NumChildren>=2.5 2    1 0 (0.500000000 0.500000000)  
##                      500) Insurance< 4800 1    0 0 (1.000000000 0.000000000) *
##                      501) Insurance>=4800 1    0 1 (0.000000000 1.000000000) *
##                    251) NumChildren< 2.5 13    1 1 (0.076923077 0.923076923)  
##                      502) ElectricBill< 470 5    1 1 (0.200000000 0.800000000)  
##                       1004) Insurance< 5550 2    1 0 (0.500000000 0.500000000)  
##                         2008) Insurance>=3750 1    0 0 (1.000000000 0.000000000) *
##                         2009) Insurance< 3750 1    0 1 (0.000000000 1.000000000) *
##                       1005) Insurance>=5550 3    0 1 (0.000000000 1.000000000) *
##                      503) ElectricBill>=470 8    0 1 (0.000000000 1.000000000) *
##                 63) Insurance< 2400 13    0 1 (0.000000000 1.000000000) *
head(predict(tree4))
##   0 1
## 2 1 0
## 3 1 0
## 4 1 0
## 5 1 0
## 7 1 0
## 9 1 0
head(predict(tree4, type="class"))
## 2 3 4 5 7 9 
## 0 0 0 0 0 0 
## Levels: 0 1
tree4_cm <- confusionMatrix(predict(tree4, type="class"), acs_fit$HighIncome, positive = "1")
tree4_cm
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 17079     1
##          1     0  1116
##                                      
##                Accuracy : 0.9999     
##                  95% CI : (0.9997, 1)
##     No Information Rate : 0.9386     
##     P-Value [Acc > NIR] : <2e-16     
##                                      
##                   Kappa : 0.9995     
##  Mcnemar's Test P-Value : 1          
##                                      
##             Sensitivity : 0.99910    
##             Specificity : 1.00000    
##          Pos Pred Value : 1.00000    
##          Neg Pred Value : 0.99994    
##              Prevalence : 0.06139    
##          Detection Rate : 0.06133    
##    Detection Prevalence : 0.06133    
##       Balanced Accuracy : 0.99955    
##                                      
##        'Positive' Class : 1          
## 

Tree Comparison

# make predictions using test data
tree1_pred <- predict(tree1, acs_test, type="class" )
tree2_pred <- predict(tree2, acs_test, type="class" ) 
tree3_pred <- predict(tree3, acs_test, type="class" ) 
tree4_pred <- predict(tree4, acs_test, type="class" )

# Confusion matrices
tree_cm1_pred <- confusionMatrix(tree1_pred, acs_test$HighIncome, positive = "1")
tree_cm2_pred <- confusionMatrix(tree2_pred, acs_test$HighIncome, positive = "1")
tree_cm3_pred <- confusionMatrix(tree3_pred, acs_test$HighIncome, positive = "1")
tree_cm4_pred <- confusionMatrix(tree4_pred, acs_test$HighIncome, positive = "1")

# Display comparison of accuracy of each decision tree 
sprintf("Tree1: Fit acc = %.3f Pred acc = %.3f",tree1_cm$overall['Accuracy'], tree_cm1_pred$overall['Accuracy'])
## [1] "Tree1: Fit acc = 0.941 Pred acc = 0.942"
sprintf("Tree2: Fit acc = %.3f Pred acc = %.3f",tree2_cm$overall['Accuracy'], tree_cm2_pred$overall['Accuracy'])
## [1] "Tree2: Fit acc = 0.939 Pred acc = 0.939"
sprintf("Tree3: Fit acc = %.3f Pred acc = %.3f",tree3_cm$overall['Accuracy'], tree_cm3_pred$overall['Accuracy'])
## [1] "Tree3: Fit acc = 0.943 Pred acc = 0.943"
sprintf("Tree4: Fit acc = %.3f Pred acc = %.3f",tree4_cm$overall['Accuracy'], tree_cm4_pred$overall['Accuracy'])
## [1] "Tree4: Fit acc = 1.000 Pred acc = 0.896"

Decision Tree Decision

  1. At first glance tree 4 would appear the best choice. However, this tree has a nearly 100% accuracy in the fit data BUT the lowest prediction accuracy. This can be seen through its extreme complexity which leads to a .99 sensitivity. This is like overfitting that leads to “garbage” predictions unless the samples are nearly identical
  2. I would choose Tree 3 for two reasons - First, it has highest prediction accuracy. Second, it has a pretty low sensitivity at .14

k-nearest neighbor

First Normalize the dataset

normalize <- function(x) {
num <- x - min(x)
denom <- max(x) - min(x)
return (num/denom)
}
acs_numericals <- data.frame(acs$NumBedrooms, acs$NumChildren, acs$NumPeople, acs$NumRooms, acs$NumVehicles, acs$NumWorkers, acs$HouseCosts, acs$ElectricBill, acs$Insurance)
acs_norm <- as.data.frame(lapply(acs_numericals[1:8], normalize))
acs_norm$HighIncome1 <- c(acs$HighIncome)
# Count rows
m <- nrow(acs_numericals)

# Create index of random row nums for the validation set
val <- sample(1:m, size = round(m/3))

# Create the learning and validation sets
acsNorm_learn <- acs_norm[-val,]
acsNorm_valid <- acs_norm[val,]
summary(acs_norm)
##  acs.NumBedrooms  acs.NumChildren  acs.NumPeople     acs.NumRooms   
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.3750   1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:0.2500  
##  Median :0.3750   Median :0.0000   Median :0.0625   Median :0.3000  
##  Mean   :0.4232   Mean   :0.0751   Mean   :0.0869   Mean   :0.3087  
##  3rd Qu.:0.5000   3rd Qu.:0.1667   3rd Qu.:0.1250   3rd Qu.:0.3500  
##  Max.   :1.0000   Max.   :1.0000   Max.   :1.0000   Max.   :1.0000  
##  acs.NumVehicles  acs.NumWorkers   acs.HouseCosts    acs.ElectricBill
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.00000   Min.   :0.0000  
##  1st Qu.:0.3333   1st Qu.:0.3333   1st Qu.:0.09117   1st Qu.:0.1710  
##  Median :0.3333   Median :0.6667   Median :0.16878   Median :0.2573  
##  Mean   :0.3521   Mean   :0.5815   Mean   :0.20836   Mean   :0.3006  
##  3rd Qu.:0.5000   3rd Qu.:0.6667   3rd Qu.:0.28168   3rd Qu.:0.3782  
##  Max.   :1.0000   Max.   :1.0000   Max.   :1.00000   Max.   :1.0000  
##   HighIncome1     
##  Min.   :0.00000  
##  1st Qu.:0.00000  
##  Median :0.00000  
##  Mean   :0.06107  
##  3rd Qu.:0.00000  
##  Max.   :1.00000

knn 1

acs_knn1 <- knn(acsNorm_learn[,1:8], acsNorm_valid[,1:8], acsNorm_learn$HighIncome1, k=5, prob = TRUE)
head(acs_knn1)
## [1] 0 0 0 0 0 0
## Levels: 0 1
# Show the classification matrix
table(acsNorm_valid$HighIncome1, acs_knn1)
##    acs_knn1
##        0    1
##   0 7020   91
##   1  390   81
pcol1 <- as.character(as.numeric(acsNorm_valid$HighIncome1))
pairs(acsNorm_valid[1:8], pch = pcol1, col = c("green3", "red")
  [(acsNorm_valid$HighIncome1 != acs_knn1)+1])

# confusion matrix for knn1
knn1_cm1_pred <- confusionMatrix(acs_knn1, acsNorm_valid$HighIncome, positive = "1")
knn1_cm1_pred
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    0    1
##          0 7020  390
##          1   91   81
##                                           
##                Accuracy : 0.9366          
##                  95% CI : (0.9308, 0.9419)
##     No Information Rate : 0.9379          
##     P-Value [Acc > NIR] : 0.6931          
##                                           
##                   Kappa : 0.2262          
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.17197         
##             Specificity : 0.98720         
##          Pos Pred Value : 0.47093         
##          Neg Pred Value : 0.94737         
##              Prevalence : 0.06212         
##          Detection Rate : 0.01068         
##    Detection Prevalence : 0.02269         
##       Balanced Accuracy : 0.57959         
##                                           
##        'Positive' Class : 1               
## 
# confusion matrix for knn1
knn1_cm1_pred <- confusionMatrix(acs_knn1, acsNorm_valid$HighIncome, positive = "1")
knn1_cm1_pred
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    0    1
##          0 7020  390
##          1   91   81
##                                           
##                Accuracy : 0.9366          
##                  95% CI : (0.9308, 0.9419)
##     No Information Rate : 0.9379          
##     P-Value [Acc > NIR] : 0.6931          
##                                           
##                   Kappa : 0.2262          
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.17197         
##             Specificity : 0.98720         
##          Pos Pred Value : 0.47093         
##          Neg Pred Value : 0.94737         
##              Prevalence : 0.06212         
##          Detection Rate : 0.01068         
##    Detection Prevalence : 0.02269         
##       Balanced Accuracy : 0.57959         
##                                           
##        'Positive' Class : 1               
## 

knn 2

acs_knn2 <- knn(acsNorm_learn[,1:4], acsNorm_valid[,1:4], acsNorm_learn$HighIncome, k=5, prob = TRUE)
head(acs_knn2)
## [1] 0 0 0 0 0 0
## Levels: 0 1
table(acsNorm_valid$HighIncome, acs_knn2)
##    acs_knn2
##        0    1
##   0 7089   22
##   1  458   13
pcol2 <- as.character(as.numeric(acsNorm_valid$HighIncome1))
pairs(acsNorm_valid[2:5], pch = pcol2, col = c("green3", "red")
  [(acsNorm_valid$HighIncome1 != acs_knn2)+1])

knn2_cm2_pred <- confusionMatrix(acs_knn2, acsNorm_valid$HighIncome, positive = "1")
knn2_cm2_pred
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    0    1
##          0 7089  458
##          1   22   13
##                                          
##                Accuracy : 0.9367         
##                  95% CI : (0.931, 0.9421)
##     No Information Rate : 0.9379         
##     P-Value [Acc > NIR] : 0.6763         
##                                          
##                   Kappa : 0.0432         
##  Mcnemar's Test P-Value : <2e-16         
##                                          
##             Sensitivity : 0.027601       
##             Specificity : 0.996906       
##          Pos Pred Value : 0.371429       
##          Neg Pred Value : 0.939314       
##              Prevalence : 0.062121       
##          Detection Rate : 0.001715       
##    Detection Prevalence : 0.004616       
##       Balanced Accuracy : 0.512254       
##                                          
##        'Positive' Class : 1              
## 

knn 3

acs_knn3 <- knn(acsNorm_learn[,6:8], acsNorm_valid[,6:8], acsNorm_learn$HighIncome, k=3, prob = TRUE)
head(acs_knn3)
## [1] 0 0 0 0 0 0
## Levels: 0 1
table(acsNorm_valid$HighIncome, acs_knn3)
##    acs_knn3
##        0    1
##   0 7003  108
##   1  399   72
pcol3 <- as.character(as.numeric(acsNorm_valid$HighIncome1))
pairs(acsNorm_valid[6:8], pch = pcol3, col = c("green3", "red")
  [(acsNorm_valid$HighIncome1 != acs_knn3)+1])

knn3_cm3_pred <- confusionMatrix(acs_knn3, acsNorm_valid$HighIncome, positive = "1")
knn3_cm3_pred
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    0    1
##          0 7003  399
##          1  108   72
##                                           
##                Accuracy : 0.9331          
##                  95% CI : (0.9273, 0.9387)
##     No Information Rate : 0.9379          
##     P-Value [Acc > NIR] : 0.9576          
##                                           
##                   Kappa : 0.1935          
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.152866        
##             Specificity : 0.984812        
##          Pos Pred Value : 0.400000        
##          Neg Pred Value : 0.946096        
##              Prevalence : 0.062121        
##          Detection Rate : 0.009496        
##    Detection Prevalence : 0.023740        
##       Balanced Accuracy : 0.568839        
##                                           
##        'Positive' Class : 1               
## 

knn 4

acs_knn4 <- knn(acsNorm_learn[,1:8], acsNorm_valid[,1:8], acsNorm_learn$HighIncome, k=10, prob = TRUE)
head(acs_knn4)
## [1] 0 0 0 0 0 0
## Levels: 0 1
table(acsNorm_valid$HighIncome, acs_knn4)
##    acs_knn4
##        0    1
##   0 7053   58
##   1  411   60
pcol4 <- as.character(as.numeric(acsNorm_valid$HighIncome1))
pairs(acsNorm_valid[1:8], pch = pcol4, col = c("green3", "red")
  [(acsNorm_valid$HighIncome1 != acs_knn4)+1])

knn4_cm4_pred <- confusionMatrix(acs_knn4, acsNorm_valid$HighIncome, positive = "1")
knn4_cm4_pred
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    0    1
##          0 7053  411
##          1   58   60
##                                           
##                Accuracy : 0.9381          
##                  95% CI : (0.9325, 0.9435)
##     No Information Rate : 0.9379          
##     P-Value [Acc > NIR] : 0.4743          
##                                           
##                   Kappa : 0.1834          
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.127389        
##             Specificity : 0.991844        
##          Pos Pred Value : 0.508475        
##          Neg Pred Value : 0.944936        
##              Prevalence : 0.062121        
##          Detection Rate : 0.007913        
##    Detection Prevalence : 0.015563        
##       Balanced Accuracy : 0.559616        
##                                           
##        'Positive' Class : 1               
## 

knn 5

acs_knn5 <- knn(acsNorm_learn[,1:8], acsNorm_valid[,1:8], acsNorm_learn$HighIncome, k=20, prob = TRUE)
head(acs_knn5)
## [1] 0 0 0 0 0 0
## Levels: 0 1
table(acsNorm_valid$HighIncome, acs_knn5)
##    acs_knn5
##        0    1
##   0 7072   39
##   1  411   60
pcol5 <- as.character(as.numeric(acsNorm_valid$HighIncome1))
pairs(acsNorm_valid[1:8], pch = pcol5, col = c("green3", "red")
  [(acsNorm_valid$HighIncome1 != acs_knn5)+1])

knn5_cm5_pred <- confusionMatrix(acs_knn5, acsNorm_valid$HighIncome, positive = "1")
knn5_cm5_pred
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    0    1
##          0 7072  411
##          1   39   60
##                                           
##                Accuracy : 0.9406          
##                  95% CI : (0.9351, 0.9459)
##     No Information Rate : 0.9379          
##     P-Value [Acc > NIR] : 0.1648          
##                                           
##                   Kappa : 0.1931          
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.127389        
##             Specificity : 0.994516        
##          Pos Pred Value : 0.606061        
##          Neg Pred Value : 0.945076        
##              Prevalence : 0.062121        
##          Detection Rate : 0.007913        
##    Detection Prevalence : 0.013057        
##       Balanced Accuracy : 0.560952        
##                                           
##        'Positive' Class : 1               
## 

knn 6

acs_knn6 <- knn(acsNorm_learn[,1:8], acsNorm_valid[,1:8], acsNorm_learn$HighIncome, k=50, prob = TRUE)
head(acs_knn6)
## [1] 0 0 0 0 0 0
## Levels: 0 1
table(acsNorm_valid$HighIncome, acs_knn6)
##    acs_knn6
##        0    1
##   0 7076   35
##   1  416   55
pcol6 <- as.character(as.numeric(acsNorm_valid$HighIncome1))
pairs(acsNorm_valid[1:8], pch = pcol6, col = c("green3", "red")
  [(acsNorm_valid$HighIncome1 != acs_knn6)+1])

knn6_cm6_pred <- confusionMatrix(acs_knn6, acsNorm_valid$HighIncome, positive = "1")
knn6_cm6_pred
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    0    1
##          0 7076  416
##          1   35   55
##                                          
##                Accuracy : 0.9405         
##                  95% CI : (0.935, 0.9457)
##     No Information Rate : 0.9379         
##     P-Value [Acc > NIR] : 0.177          
##                                          
##                   Kappa : 0.1797         
##  Mcnemar's Test P-Value : <2e-16         
##                                          
##             Sensitivity : 0.116773       
##             Specificity : 0.995078       
##          Pos Pred Value : 0.611111       
##          Neg Pred Value : 0.944474       
##              Prevalence : 0.062121       
##          Detection Rate : 0.007254       
##    Detection Prevalence : 0.011870       
##       Balanced Accuracy : 0.555925       
##                                          
##        'Positive' Class : 1              
## 

K nearest neighbor decision

  1. As I increase k the accuracy increases until I chose k = 50. I could continue to repeat this property or (loop) to find the best k value where change in accuracy = 0 (first derivative of the function).

  2. One thing to be carefule of is that the higher the k value the more complex the “outline” of the determinations.

  3. I would also think it be valuable to change the variables included in knn. I only did this with two sets of variables, and mostly focused on changing the size of k.

  4. Based on the knn I created I would select knn5 - I read that for the number of observations around 1000 that ideally k = 20 (roughly). Not a hard and fast rule, but worth choosing based on the common standard.